-x^2+3x+18=-x^2-6x

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Solution for -x^2+3x+18=-x^2-6x equation:


Simplifying
-1x2 + 3x + 18 = -1x2 + -6x

Reorder the terms:
18 + 3x + -1x2 = -1x2 + -6x

Reorder the terms:
18 + 3x + -1x2 = -6x + -1x2

Add 'x2' to each side of the equation.
18 + 3x + -1x2 + x2 = -6x + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
18 + 3x + 0 = -6x + -1x2 + x2
18 + 3x = -6x + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
18 + 3x = -6x + 0
18 + 3x = -6x

Solving
18 + 3x = -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
18 + 3x + 6x = -6x + 6x

Combine like terms: 3x + 6x = 9x
18 + 9x = -6x + 6x

Combine like terms: -6x + 6x = 0
18 + 9x = 0

Add '-18' to each side of the equation.
18 + -18 + 9x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + 9x = 0 + -18
9x = 0 + -18

Combine like terms: 0 + -18 = -18
9x = -18

Divide each side by '9'.
x = -2

Simplifying
x = -2

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