x^2+6x=x^2-2x-10

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Solution for x^2+6x=x^2-2x-10 equation:


Simplifying
x2 + 6x = x2 + -2x + -10

Reorder the terms:
6x + x2 = x2 + -2x + -10

Reorder the terms:
6x + x2 = -10 + -2x + x2

Add '-1x2' to each side of the equation.
6x + x2 + -1x2 = -10 + -2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
6x + 0 = -10 + -2x + x2 + -1x2
6x = -10 + -2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
6x = -10 + -2x + 0
6x = -10 + -2x

Solving
6x = -10 + -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.
6x + 2x = -10 + -2x + 2x

Combine like terms: 6x + 2x = 8x
8x = -10 + -2x + 2x

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

Divide each side by '8'.
x = -1.25

Simplifying
x = -1.25

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