2x^2-x-15=x(x-1)

Solution for 2x^2-x-15=x(x-1) equation:

Simplifying
2x2 + -1x + -15 = x(x + -1)

Reorder the terms:
-15 + -1x + 2x2 = x(x + -1)

Reorder the terms:
-15 + -1x + 2x2 = x(-1 + x)
-15 + -1x + 2x2 = (-1 * x + x * x)
-15 + -1x + 2x2 = (-1x + x2)

Add 'x' to each side of the equation.
-15 + -1x + x + 2x2 = -1x + x + x2

Combine like terms: -1x + x = 0
-15 + 0 + 2x2 = -1x + x + x2
-15 + 2x2 = -1x + x + x2

Combine like terms: -1x + x = 0
-15 + 2x2 = 0 + x2
-15 + 2x2 = x2

Solving
-15 + 2x2 = 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.
-15 + 2x2 + -1x2 = x2 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-15 + 1x2 = x2 + -1x2

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

Add '15' to each side of the equation.
-15 + 15 + 1x2 = 0 + 15

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

Combine like terms: 0 + 15 = 15
1x2 = 15

Divide each side by '1'.
x2 = 15

Simplifying
x2 = 15

Take the square root of each side:
x = {-3.872983346, 3.872983346}