# Solve for x 7=(4(1-rx^2))/(1-r) Rewrite the equation as .
Multiply both sides of the equation by .
Simplify .
Apply the distributive property.
Multiply.
Multiply by .
Multiply by .
Simplify .
Apply the distributive property.
Multiply.
Multiply by .
Multiply by .
Move all terms not containing to the right side of the equation.
Subtract from both sides of the equation.
Subtract from .
Divide each term by and simplify.
Divide each term in by .
Simplify .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify each term.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Dividing two negative values results in a positive value.
Move the negative in front of the fraction.
Take the square root of both sides of the equation to eliminate the exponent on the left side.
The complete solution is the result of both the positive and negative portions of the solution.
Simplify the right side of the equation.
To write as a fraction with a common denominator, multiply by .
Multiply and .
Combine the numerators over the common denominator.
Rewrite as .
Factor the perfect power out of .
Factor the perfect power out of .
Rearrange the fraction .
Pull terms out from under the radical.
Rewrite as .
Multiply by .
Combine and simplify the denominator.
Multiply and .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Rewrite as .
Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify.
Combine using the product rule for radicals.
Multiply and .
Reorder factors in .
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the to find the first solution.
Next, use the negative value of the to find the second solution.
The complete solution is the result of both the positive and negative portions of the solution.
Solve for x 7=(4(1-rx^2))/(1-r)

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