(x+5)(2x-2)(5x-2)=0

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Solution for (x+5)(2x-2)(5x-2)=0 equation: 


Simplifying
(x + 5)(2x + -2)(5x + -2) = 0

Reorder the terms:
(5 + x)(2x + -2)(5x + -2) = 0

Reorder the terms:
(5 + x)(-2 + 2x)(5x + -2) = 0

Reorder the terms:
(5 + x)(-2 + 2x)(-2 + 5x) = 0

Multiply (5 + x) * (-2 + 2x)
(5(-2 + 2x) + x(-2 + 2x))(-2 + 5x) = 0
((-2 * 5 + 2x * 5) + x(-2 + 2x))(-2 + 5x) = 0
((-10 + 10x) + x(-2 + 2x))(-2 + 5x) = 0
(-10 + 10x + (-2 * x + 2x * x))(-2 + 5x) = 0
(-10 + 10x + (-2x + 2x2))(-2 + 5x) = 0

Combine like terms: 10x + -2x = 8x
(-10 + 8x + 2x2)(-2 + 5x) = 0

Multiply (-10 + 8x + 2x2) * (-2 + 5x)
(-10(-2 + 5x) + 8x * (-2 + 5x) + 2x2 * (-2 + 5x)) = 0
((-2 * -10 + 5x * -10) + 8x * (-2 + 5x) + 2x2 * (-2 + 5x)) = 0
((20 + -50x) + 8x * (-2 + 5x) + 2x2 * (-2 + 5x)) = 0
(20 + -50x + (-2 * 8x + 5x * 8x) + 2x2 * (-2 + 5x)) = 0
(20 + -50x + (-16x + 40x2) + 2x2 * (-2 + 5x)) = 0
(20 + -50x + -16x + 40x2 + (-2 * 2x2 + 5x * 2x2)) = 0
(20 + -50x + -16x + 40x2 + (-4x2 + 10x3)) = 0

Combine like terms: -50x + -16x = -66x
(20 + -66x + 40x2 + -4x2 + 10x3) = 0

Combine like terms: 40x2 + -4x2 = 36x2
(20 + -66x + 36x2 + 10x3) = 0

Solving
20 + -66x + 36x2 + 10x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + -33x + 18x2 + 5x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(10 + -33x + 18x2 + 5x3)' equal to zero and attempt to solve:

Simplifying
10 + -33x + 18x2 + 5x3 = 0

Solving
10 + -33x + 18x2 + 5x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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