2x(x-4)x(x-4)=0

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Solution for 2x(x-4)x(x-4)=0 equation:


Simplifying
2x(x + -4) * x(x + -4) = 0

Reorder the terms:
2x(-4 + x) * x(x + -4) = 0

Reorder the terms:
2x(-4 + x) * x(-4 + x) = 0

Reorder the terms for easier multiplication:
2x * x(-4 + x)(-4 + x) = 0

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

Multiply (-4 + x) * (-4 + x)
2x2(-4(-4 + x) + x(-4 + x)) = 0
2x2((-4 * -4 + x * -4) + x(-4 + x)) = 0
2x2((16 + -4x) + x(-4 + x)) = 0
2x2(16 + -4x + (-4 * x + x * x)) = 0
2x2(16 + -4x + (-4x + x2)) = 0

Combine like terms: -4x + -4x = -8x
2x2(16 + -8x + x2) = 0
(16 * 2x2 + -8x * 2x2 + x2 * 2x2) = 0
(32x2 + -16x3 + 2x4) = 0

Solving
32x2 + -16x3 + 2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(16 + -8x + x2) = 0

Factor a trinomial.
2x2((4 + -1x)(4 + -1x)) = 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 '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 3
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {0, 4, 4}

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