x(x+1)(x-10)=(x-1)(x-3)(x-5)

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Solution for x(x+1)(x-10)=(x-1)(x-3)(x-5) equation: 


Simplifying
x(x + 1)(x + -10) = (x + -1)(x + -3)(x + -5)

Reorder the terms:
x(1 + x)(x + -10) = (x + -1)(x + -3)(x + -5)

Reorder the terms:
x(1 + x)(-10 + x) = (x + -1)(x + -3)(x + -5)

Multiply (1 + x) * (-10 + x)
x(1(-10 + x) + x(-10 + x)) = (x + -1)(x + -3)(x + -5)
x((-10 * 1 + x * 1) + x(-10 + x)) = (x + -1)(x + -3)(x + -5)
x((-10 + 1x) + x(-10 + x)) = (x + -1)(x + -3)(x + -5)
x(-10 + 1x + (-10 * x + x * x)) = (x + -1)(x + -3)(x + -5)
x(-10 + 1x + (-10x + x2)) = (x + -1)(x + -3)(x + -5)

Combine like terms: 1x + -10x = -9x
x(-10 + -9x + x2) = (x + -1)(x + -3)(x + -5)
(-10 * x + -9x * x + x2 * x) = (x + -1)(x + -3)(x + -5)
(-10x + -9x2 + x3) = (x + -1)(x + -3)(x + -5)

Reorder the terms:
-10x + -9x2 + x3 = (-1 + x)(x + -3)(x + -5)

Reorder the terms:
-10x + -9x2 + x3 = (-1 + x)(-3 + x)(x + -5)

Reorder the terms:
-10x + -9x2 + x3 = (-1 + x)(-3 + x)(-5 + x)

Multiply (-1 + x) * (-3 + x)
-10x + -9x2 + x3 = (-1(-3 + x) + x(-3 + x))(-5 + x)
-10x + -9x2 + x3 = ((-3 * -1 + x * -1) + x(-3 + x))(-5 + x)
-10x + -9x2 + x3 = ((3 + -1x) + x(-3 + x))(-5 + x)
-10x + -9x2 + x3 = (3 + -1x + (-3 * x + x * x))(-5 + x)
-10x + -9x2 + x3 = (3 + -1x + (-3x + x2))(-5 + x)

Combine like terms: -1x + -3x = -4x
-10x + -9x2 + x3 = (3 + -4x + x2)(-5 + x)

Multiply (3 + -4x + x2) * (-5 + x)
-10x + -9x2 + x3 = (3(-5 + x) + -4x * (-5 + x) + x2(-5 + x))
-10x + -9x2 + x3 = ((-5 * 3 + x * 3) + -4x * (-5 + x) + x2(-5 + x))
-10x + -9x2 + x3 = ((-15 + 3x) + -4x * (-5 + x) + x2(-5 + x))
-10x + -9x2 + x3 = (-15 + 3x + (-5 * -4x + x * -4x) + x2(-5 + x))
-10x + -9x2 + x3 = (-15 + 3x + (20x + -4x2) + x2(-5 + x))
-10x + -9x2 + x3 = (-15 + 3x + 20x + -4x2 + (-5 * x2 + x * x2))
-10x + -9x2 + x3 = (-15 + 3x + 20x + -4x2 + (-5x2 + x3))

Combine like terms: 3x + 20x = 23x
-10x + -9x2 + x3 = (-15 + 23x + -4x2 + -5x2 + x3)

Combine like terms: -4x2 + -5x2 = -9x2
-10x + -9x2 + x3 = (-15 + 23x + -9x2 + x3)

Add '9x2' to each side of the equation.
-10x + -9x2 + 9x2 + x3 = -15 + 23x + -9x2 + 9x2 + x3

Combine like terms: -9x2 + 9x2 = 0
-10x + 0 + x3 = -15 + 23x + -9x2 + 9x2 + x3
-10x + x3 = -15 + 23x + -9x2 + 9x2 + x3

Combine like terms: -9x2 + 9x2 = 0
-10x + x3 = -15 + 23x + 0 + x3
-10x + x3 = -15 + 23x + x3

Add '-1x3' to each side of the equation.
-10x + x3 + -1x3 = -15 + 23x + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-10x + 0 = -15 + 23x + x3 + -1x3
-10x = -15 + 23x + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-10x = -15 + 23x + 0
-10x = -15 + 23x

Solving
-10x = -15 + 23x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-23x' to each side of the equation.
-10x + -23x = -15 + 23x + -23x

Combine like terms: -10x + -23x = -33x
-33x = -15 + 23x + -23x

Combine like terms: 23x + -23x = 0
-33x = -15 + 0
-33x = -15

Divide each side by '-33'.
x = 0.4545454545

Simplifying
x = 0.4545454545

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