10x^2-2x-64=(x+3)(x-5)

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Solution for 10x^2-2x-64=(x+3)(x-5) equation: 


Simplifying
10x2 + -2x + -64 = (x + 3)(x + -5)

Reorder the terms:
-64 + -2x + 10x2 = (x + 3)(x + -5)

Reorder the terms:
-64 + -2x + 10x2 = (3 + x)(x + -5)

Reorder the terms:
-64 + -2x + 10x2 = (3 + x)(-5 + x)

Multiply (3 + x) * (-5 + x)
-64 + -2x + 10x2 = (3(-5 + x) + x(-5 + x))
-64 + -2x + 10x2 = ((-5 * 3 + x * 3) + x(-5 + x))
-64 + -2x + 10x2 = ((-15 + 3x) + x(-5 + x))
-64 + -2x + 10x2 = (-15 + 3x + (-5 * x + x * x))
-64 + -2x + 10x2 = (-15 + 3x + (-5x + x2))

Combine like terms: 3x + -5x = -2x
-64 + -2x + 10x2 = (-15 + -2x + x2)

Add '2x' to each side of the equation.
-64 + -2x + 2x + 10x2 = -15 + -2x + 2x + x2

Combine like terms: -2x + 2x = 0
-64 + 0 + 10x2 = -15 + -2x + 2x + x2
-64 + 10x2 = -15 + -2x + 2x + x2

Combine like terms: -2x + 2x = 0
-64 + 10x2 = -15 + 0 + x2
-64 + 10x2 = -15 + x2

Solving
-64 + 10x2 = -15 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
-64 + 10x2 + -1x2 = -15 + x2 + -1x2

Combine like terms: 10x2 + -1x2 = 9x2
-64 + 9x2 = -15 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-64 + 9x2 = -15 + 0
-64 + 9x2 = -15

Add '64' to each side of the equation.
-64 + 64 + 9x2 = -15 + 64

Combine like terms: -64 + 64 = 0
0 + 9x2 = -15 + 64
9x2 = -15 + 64

Combine like terms: -15 + 64 = 49
9x2 = 49

Divide each side by '9'.
x2 = 5.444444444

Simplifying
x2 = 5.444444444

Take the square root of each side:
x = {-2.333333333, 2.333333333}

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