(9x+7)x(9x-7)=

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Solution for (9x+7)x(9x-7)= equation: 


Simplifying
(9x + 7) * x(9x + -7) = 0

Reorder the terms:
(7 + 9x) * x(9x + -7) = 0

Reorder the terms:
(7 + 9x) * x(-7 + 9x) = 0

Reorder the terms for easier multiplication:
x(7 + 9x)(-7 + 9x) = 0

Multiply (7 + 9x) * (-7 + 9x)
x(7(-7 + 9x) + 9x * (-7 + 9x)) = 0
x((-7 * 7 + 9x * 7) + 9x * (-7 + 9x)) = 0
x((-49 + 63x) + 9x * (-7 + 9x)) = 0
x(-49 + 63x + (-7 * 9x + 9x * 9x)) = 0
x(-49 + 63x + (-63x + 81x2)) = 0

Combine like terms: 63x + -63x = 0
x(-49 + 0 + 81x2) = 0
x(-49 + 81x2) = 0
(-49 * x + 81x2 * x) = 0
(-49x + 81x3) = 0

Solving
-49x + 81x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-49 + 81x2) = 0

Factor a difference between two squares.
x((7 + 9x)(-7 + 9x)) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(7 + 9x)' equal to zero and attempt to solve:

Simplifying
7 + 9x = 0

Solving
7 + 9x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + 9x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 9x = 0 + -7
9x = 0 + -7

Combine like terms: 0 + -7 = -7
9x = -7

Divide each side by '9'.
x = -0.7777777778

Simplifying
x = -0.7777777778

Subproblem 3
Set the factor '(-7 + 9x)' equal to zero and attempt to solve:

Simplifying
-7 + 9x = 0

Solving
-7 + 9x = 0

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + 9x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 9x = 0 + 7
9x = 0 + 7

Combine like terms: 0 + 7 = 7
9x = 7

Divide each side by '9'.
x = 0.7777777778

Simplifying
x = 0.7777777778
Solution
x = {0, -0.7777777778, 0.7777777778}

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