2x^2-x-6=9x^2-x-258

Solution for 2x^2-x-6=9x^2-x-258 equation:

Simplifying
2x2 + -1x + -6 = 9x2 + -1x + -258

Reorder the terms:
-6 + -1x + 2x2 = 9x2 + -1x + -258

Reorder the terms:
-6 + -1x + 2x2 = -258 + -1x + 9x2

Add 'x' to each side of the equation.
-6 + -1x + x + 2x2 = -258 + -1x + x + 9x2

Combine like terms: -1x + x = 0
-6 + 0 + 2x2 = -258 + -1x + x + 9x2
-6 + 2x2 = -258 + -1x + x + 9x2

Combine like terms: -1x + x = 0
-6 + 2x2 = -258 + 0 + 9x2
-6 + 2x2 = -258 + 9x2

Solving
-6 + 2x2 = -258 + 9x2

Solving for variable 'x'.

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

Add '-9x2' to each side of the equation.
-6 + 2x2 + -9x2 = -258 + 9x2 + -9x2

Combine like terms: 2x2 + -9x2 = -7x2
-6 + -7x2 = -258 + 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-6 + -7x2 = -258 + 0
-6 + -7x2 = -258

Add '6' to each side of the equation.
-6 + 6 + -7x2 = -258 + 6

Combine like terms: -6 + 6 = 0
0 + -7x2 = -258 + 6
-7x2 = -258 + 6

Combine like terms: -258 + 6 = -252
-7x2 = -252

Divide each side by '-7'.
x2 = 36

Simplifying
x2 = 36

Take the square root of each side:
x = {-6, 6}