9x^2+x-1=x^2+x+7

Solution for 9x^2+x-1=x^2+x+7 equation:

Simplifying
9x2 + x + -1 = x2 + x + 7

Reorder the terms:
-1 + x + 9x2 = x2 + x + 7

Reorder the terms:
-1 + x + 9x2 = 7 + x + x2

Add '-1x' to each side of the equation.
-1 + x + -1x + 9x2 = 7 + x + -1x + x2

Combine like terms: x + -1x = 0
-1 + 0 + 9x2 = 7 + x + -1x + x2
-1 + 9x2 = 7 + x + -1x + x2

Combine like terms: x + -1x = 0
-1 + 9x2 = 7 + 0 + x2
-1 + 9x2 = 7 + x2

Solving
-1 + 9x2 = 7 + 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.
-1 + 9x2 + -1x2 = 7 + x2 + -1x2

Combine like terms: 9x2 + -1x2 = 8x2
-1 + 8x2 = 7 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1 + 8x2 = 7 + 0
-1 + 8x2 = 7

Add '1' to each side of the equation.
-1 + 1 + 8x2 = 7 + 1

Combine like terms: -1 + 1 = 0
0 + 8x2 = 7 + 1
8x2 = 7 + 1

Combine like terms: 7 + 1 = 8
8x2 = 8

Divide each side by '8'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}