(x-2)(x-4)(x-6)=40x

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Solution for (x-2)(x-4)(x-6)=40x equation:


Simplifying
(x + -2)(x + -4)(x + -6) = 40x

Reorder the terms:
(-2 + x)(x + -4)(x + -6) = 40x

Reorder the terms:
(-2 + x)(-4 + x)(x + -6) = 40x

Reorder the terms:
(-2 + x)(-4 + x)(-6 + x) = 40x

Multiply (-2 + x) * (-4 + x)
(-2(-4 + x) + x(-4 + x))(-6 + x) = 40x
((-4 * -2 + x * -2) + x(-4 + x))(-6 + x) = 40x
((8 + -2x) + x(-4 + x))(-6 + x) = 40x
(8 + -2x + (-4 * x + x * x))(-6 + x) = 40x
(8 + -2x + (-4x + x2))(-6 + x) = 40x

Combine like terms: -2x + -4x = -6x
(8 + -6x + x2)(-6 + x) = 40x

Multiply (8 + -6x + x2) * (-6 + x)
(8(-6 + x) + -6x * (-6 + x) + x2(-6 + x)) = 40x
((-6 * 8 + x * 8) + -6x * (-6 + x) + x2(-6 + x)) = 40x
((-48 + 8x) + -6x * (-6 + x) + x2(-6 + x)) = 40x
(-48 + 8x + (-6 * -6x + x * -6x) + x2(-6 + x)) = 40x
(-48 + 8x + (36x + -6x2) + x2(-6 + x)) = 40x
(-48 + 8x + 36x + -6x2 + (-6 * x2 + x * x2)) = 40x
(-48 + 8x + 36x + -6x2 + (-6x2 + x3)) = 40x

Combine like terms: 8x + 36x = 44x
(-48 + 44x + -6x2 + -6x2 + x3) = 40x

Combine like terms: -6x2 + -6x2 = -12x2
(-48 + 44x + -12x2 + x3) = 40x

Solving
-48 + 44x + -12x2 + x3 = 40x

Solving for variable 'x'.

Reorder the terms:
-48 + 44x + -40x + -12x2 + x3 = 40x + -40x

Combine like terms: 44x + -40x = 4x
-48 + 4x + -12x2 + x3 = 40x + -40x

Combine like terms: 40x + -40x = 0
-48 + 4x + -12x2 + x3 = 0

The solution to this equation could not be determined.

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