2x^2+3x+6=x^2+3x+15

Solution for 2x^2+3x+6=x^2+3x+15 equation:

Simplifying
2x2 + 3x + 6 = x2 + 3x + 15

Reorder the terms:
6 + 3x + 2x2 = x2 + 3x + 15

Reorder the terms:
6 + 3x + 2x2 = 15 + 3x + x2

Add '-3x' to each side of the equation.
6 + 3x + -3x + 2x2 = 15 + 3x + -3x + x2

Combine like terms: 3x + -3x = 0
6 + 0 + 2x2 = 15 + 3x + -3x + x2
6 + 2x2 = 15 + 3x + -3x + x2

Combine like terms: 3x + -3x = 0
6 + 2x2 = 15 + 0 + x2
6 + 2x2 = 15 + x2

Solving
6 + 2x2 = 15 + 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.
6 + 2x2 + -1x2 = 15 + x2 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
6 + 1x2 = 15 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
6 + 1x2 = 15 + 0
6 + 1x2 = 15

Add '-6' to each side of the equation.
6 + -6 + 1x2 = 15 + -6

Combine like terms: 6 + -6 = 0
0 + 1x2 = 15 + -6
1x2 = 15 + -6

Combine like terms: 15 + -6 = 9
1x2 = 9

Divide each side by '1'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}