x^2+2x-80=(x+8)(x-10)

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Solution for x^2+2x-80=(x+8)(x-10) equation:


Simplifying
x2 + 2x + -80 = (x + 8)(x + -10)

Reorder the terms:
-80 + 2x + x2 = (x + 8)(x + -10)

Reorder the terms:
-80 + 2x + x2 = (8 + x)(x + -10)

Reorder the terms:
-80 + 2x + x2 = (8 + x)(-10 + x)

Multiply (8 + x) * (-10 + x)
-80 + 2x + x2 = (8(-10 + x) + x(-10 + x))
-80 + 2x + x2 = ((-10 * 8 + x * 8) + x(-10 + x))
-80 + 2x + x2 = ((-80 + 8x) + x(-10 + x))
-80 + 2x + x2 = (-80 + 8x + (-10 * x + x * x))
-80 + 2x + x2 = (-80 + 8x + (-10x + x2))

Combine like terms: 8x + -10x = -2x
-80 + 2x + x2 = (-80 + -2x + x2)

Add '80' to each side of the equation.
-80 + 2x + 80 + x2 = -80 + -2x + 80 + x2

Reorder the terms:
-80 + 80 + 2x + x2 = -80 + -2x + 80 + x2

Combine like terms: -80 + 80 = 0
0 + 2x + x2 = -80 + -2x + 80 + x2
2x + x2 = -80 + -2x + 80 + x2

Reorder the terms:
2x + x2 = -80 + 80 + -2x + x2

Combine like terms: -80 + 80 = 0
2x + x2 = 0 + -2x + x2
2x + x2 = -2x + x2

Add '-1x2' to each side of the equation.
2x + x2 + -1x2 = -2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2x + 0 = -2x + x2 + -1x2
2x = -2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2x = -2x + 0
2x = -2x

Solving
2x = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
2x + 2x = -2x + 2x

Combine like terms: 2x + 2x = 4x
4x = -2x + 2x

Combine like terms: -2x + 2x = 0
4x = 0

Divide each side by '4'.
x = 0

Simplifying
x = 0

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