(x-7)(x-5)(x-2)x-75=0

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Solution for (x-7)(x-5)(x-2)x-75=0 equation:


Simplifying
(x + -7)(x + -5)(x + -2) * x + -75 = 0

Reorder the terms:
(-7 + x)(x + -5)(x + -2) * x + -75 = 0

Reorder the terms:
(-7 + x)(-5 + x)(x + -2) * x + -75 = 0

Reorder the terms:
(-7 + x)(-5 + x)(-2 + x) * x + -75 = 0

Reorder the terms for easier multiplication:
x(-7 + x)(-5 + x)(-2 + x) + -75 = 0

Multiply (-7 + x) * (-5 + x)
x(-7(-5 + x) + x(-5 + x))(-2 + x) + -75 = 0
x((-5 * -7 + x * -7) + x(-5 + x))(-2 + x) + -75 = 0
x((35 + -7x) + x(-5 + x))(-2 + x) + -75 = 0
x(35 + -7x + (-5 * x + x * x))(-2 + x) + -75 = 0
x(35 + -7x + (-5x + x2))(-2 + x) + -75 = 0

Combine like terms: -7x + -5x = -12x
x(35 + -12x + x2)(-2 + x) + -75 = 0

Multiply (35 + -12x + x2) * (-2 + x)
x(35(-2 + x) + -12x * (-2 + x) + x2(-2 + x)) + -75 = 0
x((-2 * 35 + x * 35) + -12x * (-2 + x) + x2(-2 + x)) + -75 = 0
x((-70 + 35x) + -12x * (-2 + x) + x2(-2 + x)) + -75 = 0
x(-70 + 35x + (-2 * -12x + x * -12x) + x2(-2 + x)) + -75 = 0
x(-70 + 35x + (24x + -12x2) + x2(-2 + x)) + -75 = 0
x(-70 + 35x + 24x + -12x2 + (-2 * x2 + x * x2)) + -75 = 0
x(-70 + 35x + 24x + -12x2 + (-2x2 + x3)) + -75 = 0

Combine like terms: 35x + 24x = 59x
x(-70 + 59x + -12x2 + -2x2 + x3) + -75 = 0

Combine like terms: -12x2 + -2x2 = -14x2
x(-70 + 59x + -14x2 + x3) + -75 = 0
(-70 * x + 59x * x + -14x2 * x + x3 * x) + -75 = 0
(-70x + 59x2 + -14x3 + x4) + -75 = 0

Reorder the terms:
-75 + -70x + 59x2 + -14x3 + x4 = 0

Solving
-75 + -70x + 59x2 + -14x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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