x(2x-5)=(2x+1)(x-6)

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Solution for x(2x-5)=(2x+1)(x-6) equation:


Simplifying
x(2x + -5) = (2x + 1)(x + -6)

Reorder the terms:
x(-5 + 2x) = (2x + 1)(x + -6)
(-5 * x + 2x * x) = (2x + 1)(x + -6)
(-5x + 2x2) = (2x + 1)(x + -6)

Reorder the terms:
-5x + 2x2 = (1 + 2x)(x + -6)

Reorder the terms:
-5x + 2x2 = (1 + 2x)(-6 + x)

Multiply (1 + 2x) * (-6 + x)
-5x + 2x2 = (1(-6 + x) + 2x * (-6 + x))
-5x + 2x2 = ((-6 * 1 + x * 1) + 2x * (-6 + x))
-5x + 2x2 = ((-6 + 1x) + 2x * (-6 + x))
-5x + 2x2 = (-6 + 1x + (-6 * 2x + x * 2x))
-5x + 2x2 = (-6 + 1x + (-12x + 2x2))

Combine like terms: 1x + -12x = -11x
-5x + 2x2 = (-6 + -11x + 2x2)

Add '-2x2' to each side of the equation.
-5x + 2x2 + -2x2 = -6 + -11x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-5x + 0 = -6 + -11x + 2x2 + -2x2
-5x = -6 + -11x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-5x = -6 + -11x + 0
-5x = -6 + -11x

Solving
-5x = -6 + -11x

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.
-5x + 11x = -6 + -11x + 11x

Combine like terms: -5x + 11x = 6x
6x = -6 + -11x + 11x

Combine like terms: -11x + 11x = 0
6x = -6 + 0
6x = -6

Divide each side by '6'.
x = -1

Simplifying
x = -1

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