x^2(7x+9)(7x-9)=0

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Solution for x^2(7x+9)(7x-9)=0 equation: 


Simplifying
x2(7x + 9)(7x + -9) = 0

Reorder the terms:
x2(9 + 7x)(7x + -9) = 0

Reorder the terms:
x2(9 + 7x)(-9 + 7x) = 0

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

Combine like terms: 63x + -63x = 0
x2(-81 + 0 + 49x2) = 0
x2(-81 + 49x2) = 0
(-81 * x2 + 49x2 * x2) = 0
(-81x2 + 49x4) = 0

Solving
-81x2 + 49x4 = 0

Solving for variable 'x'.

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

Factor a difference between two squares.
x2((9 + 7x)(-9 + 7x)) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

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

Simplifying
9 + 7x = 0

Solving
9 + 7x = 0

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

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

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

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

Divide each side by '7'.
x = -1.285714286

Simplifying
x = -1.285714286

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

Simplifying
-9 + 7x = 0

Solving
-9 + 7x = 0

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

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

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

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

Divide each side by '7'.
x = 1.285714286

Simplifying
x = 1.285714286
Solution
x = {0, -1.285714286, 1.285714286}

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