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

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


Simplifying
7x2(x + 2)(x + -2) = 0

Reorder the terms:
7x2(2 + x)(x + -2) = 0

Reorder the terms:
7x2(2 + x)(-2 + x) = 0

Multiply (2 + x) * (-2 + x)
7x2(2(-2 + x) + x(-2 + x)) = 0
7x2((-2 * 2 + x * 2) + x(-2 + x)) = 0
7x2((-4 + 2x) + x(-2 + x)) = 0
7x2(-4 + 2x + (-2 * x + x * x)) = 0
7x2(-4 + 2x + (-2x + x2)) = 0

Combine like terms: 2x + -2x = 0
7x2(-4 + 0 + x2) = 0
7x2(-4 + x2) = 0
(-4 * 7x2 + x2 * 7x2) = 0
(-28x2 + 7x4) = 0

Solving
-28x2 + 7x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x2'.
7x2(-4 + x2) = 0

Factor a difference between two squares.
7x2((2 + x)(-2 + x)) = 0

Ignore the factor 7.

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 '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2

Subproblem 3
Set the factor '(-2 + x)' equal to zero and attempt to solve:

Simplifying
-2 + x = 0

Solving
-2 + x = 0

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

Add '2' to each side of the equation.
-2 + 2 + x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + x = 0 + 2
x = 0 + 2

Combine like terms: 0 + 2 = 2
x = 2

Simplifying
x = 2
Solution
x = {0, -2, 2}

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