X^2+11x=2(x+5)(x-1)

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Solution for X^2+11x=2(x+5)(x-1) equation: 


Simplifying
X2 + 11x = 2(x + 5)(x + -1)

Reorder the terms:
X2 + 11x = 2(5 + x)(x + -1)

Reorder the terms:
X2 + 11x = 2(5 + x)(-1 + x)

Multiply (5 + x) * (-1 + x)
X2 + 11x = 2(5(-1 + x) + x(-1 + x))
X2 + 11x = 2((-1 * 5 + x * 5) + x(-1 + x))
X2 + 11x = 2((-5 + 5x) + x(-1 + x))
X2 + 11x = 2(-5 + 5x + (-1 * x + x * x))
X2 + 11x = 2(-5 + 5x + (-1x + x2))

Combine like terms: 5x + -1x = 4x
X2 + 11x = 2(-5 + 4x + x2)
X2 + 11x = (-5 * 2 + 4x * 2 + x2 * 2)
X2 + 11x = (-10 + 8x + 2x2)

Solving
X2 + 11x = -10 + 8x + 2x2

Solving for variable 'X'.

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

Add '-11x' to each side of the equation.
X2 + 11x + -11x = -10 + 8x + -11x + 2x2

Combine like terms: 11x + -11x = 0
X2 + 0 = -10 + 8x + -11x + 2x2
X2 = -10 + 8x + -11x + 2x2

Combine like terms: 8x + -11x = -3x
X2 = -10 + -3x + 2x2

Simplifying
X2 = -10 + -3x + 2x2

Reorder the terms:
10 + X2 + 3x + -2x2 = -10 + -3x + 2x2 + 10 + 3x + -2x2

Reorder the terms:
10 + X2 + 3x + -2x2 = -10 + 10 + -3x + 3x + 2x2 + -2x2

Combine like terms: -10 + 10 = 0
10 + X2 + 3x + -2x2 = 0 + -3x + 3x + 2x2 + -2x2
10 + X2 + 3x + -2x2 = -3x + 3x + 2x2 + -2x2

Combine like terms: -3x + 3x = 0
10 + X2 + 3x + -2x2 = 0 + 2x2 + -2x2
10 + X2 + 3x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
10 + X2 + 3x + -2x2 = 0

The solution to this equation could not be determined.

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