(x-4)(2x-10)(3x-5)=0

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Solution for (x-4)(2x-10)(3x-5)=0 equation: 


Simplifying
(x + -4)(2x + -10)(3x + -5) = 0

Reorder the terms:
(-4 + x)(2x + -10)(3x + -5) = 0

Reorder the terms:
(-4 + x)(-10 + 2x)(3x + -5) = 0

Reorder the terms:
(-4 + x)(-10 + 2x)(-5 + 3x) = 0

Multiply (-4 + x) * (-10 + 2x)
(-4(-10 + 2x) + x(-10 + 2x))(-5 + 3x) = 0
((-10 * -4 + 2x * -4) + x(-10 + 2x))(-5 + 3x) = 0
((40 + -8x) + x(-10 + 2x))(-5 + 3x) = 0
(40 + -8x + (-10 * x + 2x * x))(-5 + 3x) = 0
(40 + -8x + (-10x + 2x2))(-5 + 3x) = 0

Combine like terms: -8x + -10x = -18x
(40 + -18x + 2x2)(-5 + 3x) = 0

Multiply (40 + -18x + 2x2) * (-5 + 3x)
(40(-5 + 3x) + -18x * (-5 + 3x) + 2x2 * (-5 + 3x)) = 0
((-5 * 40 + 3x * 40) + -18x * (-5 + 3x) + 2x2 * (-5 + 3x)) = 0
((-200 + 120x) + -18x * (-5 + 3x) + 2x2 * (-5 + 3x)) = 0
(-200 + 120x + (-5 * -18x + 3x * -18x) + 2x2 * (-5 + 3x)) = 0
(-200 + 120x + (90x + -54x2) + 2x2 * (-5 + 3x)) = 0
(-200 + 120x + 90x + -54x2 + (-5 * 2x2 + 3x * 2x2)) = 0
(-200 + 120x + 90x + -54x2 + (-10x2 + 6x3)) = 0

Combine like terms: 120x + 90x = 210x
(-200 + 210x + -54x2 + -10x2 + 6x3) = 0

Combine like terms: -54x2 + -10x2 = -64x2
(-200 + 210x + -64x2 + 6x3) = 0

Solving
-200 + 210x + -64x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-100 + 105x + -32x2 + 3x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-100 + 105x + -32x2 + 3x3)' equal to zero and attempt to solve:

Simplifying
-100 + 105x + -32x2 + 3x3 = 0

Solving
-100 + 105x + -32x2 + 3x3 = 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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