(x-12)(x+5)(2x-10)=0

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Solution for (x-12)(x+5)(2x-10)=0 equation: 


Simplifying
(x + -12)(x + 5)(2x + -10) = 0

Reorder the terms:
(-12 + x)(x + 5)(2x + -10) = 0

Reorder the terms:
(-12 + x)(5 + x)(2x + -10) = 0

Reorder the terms:
(-12 + x)(5 + x)(-10 + 2x) = 0

Multiply (-12 + x) * (5 + x)
(-12(5 + x) + x(5 + x))(-10 + 2x) = 0
((5 * -12 + x * -12) + x(5 + x))(-10 + 2x) = 0
((-60 + -12x) + x(5 + x))(-10 + 2x) = 0
(-60 + -12x + (5 * x + x * x))(-10 + 2x) = 0
(-60 + -12x + (5x + x2))(-10 + 2x) = 0

Combine like terms: -12x + 5x = -7x
(-60 + -7x + x2)(-10 + 2x) = 0

Multiply (-60 + -7x + x2) * (-10 + 2x)
(-60(-10 + 2x) + -7x * (-10 + 2x) + x2(-10 + 2x)) = 0
((-10 * -60 + 2x * -60) + -7x * (-10 + 2x) + x2(-10 + 2x)) = 0
((600 + -120x) + -7x * (-10 + 2x) + x2(-10 + 2x)) = 0
(600 + -120x + (-10 * -7x + 2x * -7x) + x2(-10 + 2x)) = 0
(600 + -120x + (70x + -14x2) + x2(-10 + 2x)) = 0
(600 + -120x + 70x + -14x2 + (-10 * x2 + 2x * x2)) = 0
(600 + -120x + 70x + -14x2 + (-10x2 + 2x3)) = 0

Combine like terms: -120x + 70x = -50x
(600 + -50x + -14x2 + -10x2 + 2x3) = 0

Combine like terms: -14x2 + -10x2 = -24x2
(600 + -50x + -24x2 + 2x3) = 0

Solving
600 + -50x + -24x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(300 + -25x + -12x2 + x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(300 + -25x + -12x2 + x3)' equal to zero and attempt to solve:

Simplifying
300 + -25x + -12x2 + x3 = 0

Solving
300 + -25x + -12x2 + x3 = 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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