(x^2-x+9)=(x^2+x+15)

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Solution for (x^2-x+9)=(x^2+x+15) equation:


Simplifying
(x2 + -1x + 9) = (x2 + x + 15)

Reorder the terms:
(9 + -1x + x2) = (x2 + x + 15)

Remove parenthesis around (9 + -1x + x2)
9 + -1x + x2 = (x2 + x + 15)

Reorder the terms:
9 + -1x + x2 = (15 + x + x2)

Remove parenthesis around (15 + x + x2)
9 + -1x + x2 = 15 + x + x2

Add '-1x2' to each side of the equation.
9 + -1x + x2 + -1x2 = 15 + x + x2 + -1x2

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

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

Solving
9 + -1x = 15 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
9 + -1x + -1x = 15 + x + -1x

Combine like terms: -1x + -1x = -2x
9 + -2x = 15 + x + -1x

Combine like terms: x + -1x = 0
9 + -2x = 15 + 0
9 + -2x = 15

Add '-9' to each side of the equation.
9 + -9 + -2x = 15 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 15 + -9
-2x = 15 + -9

Combine like terms: 15 + -9 = 6
-2x = 6

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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