2x^2(x+3)(x-3)=0

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Solution for 2x^2(x+3)(x-3)=0 equation: 


Simplifying
2x2(x + 3)(x + -3) = 0

Reorder the terms:
2x2(3 + x)(x + -3) = 0

Reorder the terms:
2x2(3 + x)(-3 + x) = 0

Multiply (3 + x) * (-3 + x)
2x2(3(-3 + x) + x(-3 + x)) = 0
2x2((-3 * 3 + x * 3) + x(-3 + x)) = 0
2x2((-9 + 3x) + x(-3 + x)) = 0
2x2(-9 + 3x + (-3 * x + x * x)) = 0
2x2(-9 + 3x + (-3x + x2)) = 0

Combine like terms: 3x + -3x = 0
2x2(-9 + 0 + x2) = 0
2x2(-9 + x2) = 0
(-9 * 2x2 + x2 * 2x2) = 0
(-18x2 + 2x4) = 0

Solving
-18x2 + 2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-9 + x2) = 0

Factor a difference between two squares.
2x2((3 + x)(-3 + x)) = 0

Ignore the factor 2.

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

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3

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

Simplifying
-3 + x = 0

Solving
-3 + x = 0

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

Add '3' to each side of the equation.
-3 + 3 + x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + x = 0 + 3
x = 0 + 3

Combine like terms: 0 + 3 = 3
x = 3

Simplifying
x = 3
Solution
x = {0, -3, 3}

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