(x-7)(x-2)(x-4)(x-5)=7x

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Solution for (x-7)(x-2)(x-4)(x-5)=7x equation: 


Simplifying
(x + -7)(x + -2)(x + -4)(x + -5) = 7x

Reorder the terms:
(-7 + x)(x + -2)(x + -4)(x + -5) = 7x

Reorder the terms:
(-7 + x)(-2 + x)(x + -4)(x + -5) = 7x

Reorder the terms:
(-7 + x)(-2 + x)(-4 + x)(x + -5) = 7x

Reorder the terms:
(-7 + x)(-2 + x)(-4 + x)(-5 + x) = 7x

Multiply (-7 + x) * (-2 + x)
(-7(-2 + x) + x(-2 + x))(-4 + x)(-5 + x) = 7x
((-2 * -7 + x * -7) + x(-2 + x))(-4 + x)(-5 + x) = 7x
((14 + -7x) + x(-2 + x))(-4 + x)(-5 + x) = 7x
(14 + -7x + (-2 * x + x * x))(-4 + x)(-5 + x) = 7x
(14 + -7x + (-2x + x2))(-4 + x)(-5 + x) = 7x

Combine like terms: -7x + -2x = -9x
(14 + -9x + x2)(-4 + x)(-5 + x) = 7x

Multiply (14 + -9x + x2) * (-4 + x)
(14(-4 + x) + -9x * (-4 + x) + x2(-4 + x))(-5 + x) = 7x
((-4 * 14 + x * 14) + -9x * (-4 + x) + x2(-4 + x))(-5 + x) = 7x
((-56 + 14x) + -9x * (-4 + x) + x2(-4 + x))(-5 + x) = 7x
(-56 + 14x + (-4 * -9x + x * -9x) + x2(-4 + x))(-5 + x) = 7x
(-56 + 14x + (36x + -9x2) + x2(-4 + x))(-5 + x) = 7x
(-56 + 14x + 36x + -9x2 + (-4 * x2 + x * x2))(-5 + x) = 7x
(-56 + 14x + 36x + -9x2 + (-4x2 + x3))(-5 + x) = 7x

Combine like terms: 14x + 36x = 50x
(-56 + 50x + -9x2 + -4x2 + x3)(-5 + x) = 7x

Combine like terms: -9x2 + -4x2 = -13x2
(-56 + 50x + -13x2 + x3)(-5 + x) = 7x

Multiply (-56 + 50x + -13x2 + x3) * (-5 + x)
(-56(-5 + x) + 50x * (-5 + x) + -13x2 * (-5 + x) + x3(-5 + x)) = 7x
((-5 * -56 + x * -56) + 50x * (-5 + x) + -13x2 * (-5 + x) + x3(-5 + x)) = 7x
((280 + -56x) + 50x * (-5 + x) + -13x2 * (-5 + x) + x3(-5 + x)) = 7x
(280 + -56x + (-5 * 50x + x * 50x) + -13x2 * (-5 + x) + x3(-5 + x)) = 7x
(280 + -56x + (-250x + 50x2) + -13x2 * (-5 + x) + x3(-5 + x)) = 7x
(280 + -56x + -250x + 50x2 + (-5 * -13x2 + x * -13x2) + x3(-5 + x)) = 7x
(280 + -56x + -250x + 50x2 + (65x2 + -13x3) + x3(-5 + x)) = 7x
(280 + -56x + -250x + 50x2 + 65x2 + -13x3 + (-5 * x3 + x * x3)) = 7x
(280 + -56x + -250x + 50x2 + 65x2 + -13x3 + (-5x3 + x4)) = 7x

Combine like terms: -56x + -250x = -306x
(280 + -306x + 50x2 + 65x2 + -13x3 + -5x3 + x4) = 7x

Combine like terms: 50x2 + 65x2 = 115x2
(280 + -306x + 115x2 + -13x3 + -5x3 + x4) = 7x

Combine like terms: -13x3 + -5x3 = -18x3
(280 + -306x + 115x2 + -18x3 + x4) = 7x

Solving
280 + -306x + 115x2 + -18x3 + x4 = 7x

Solving for variable 'x'.

Reorder the terms:
280 + -306x + -7x + 115x2 + -18x3 + x4 = 7x + -7x

Combine like terms: -306x + -7x = -313x
280 + -313x + 115x2 + -18x3 + x4 = 7x + -7x

Combine like terms: 7x + -7x = 0
280 + -313x + 115x2 + -18x3 + x4 = 0

The solution to this equation could not be determined.

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