2x^2+-3+12x=x+60

Solution for 2x^2+-3+12x=x+60 equation:

Simplifying
2x2 + -3 + 12x = x + 60

Reorder the terms:
-3 + 12x + 2x2 = x + 60

Reorder the terms:
-3 + 12x + 2x2 = 60 + x

Solving
-3 + 12x + 2x2 = 60 + x

Solving for variable 'x'.

Reorder the terms:
-3 + -60 + 12x + -1x + 2x2 = 60 + x + -60 + -1x

Combine like terms: -3 + -60 = -63
-63 + 12x + -1x + 2x2 = 60 + x + -60 + -1x

Combine like terms: 12x + -1x = 11x
-63 + 11x + 2x2 = 60 + x + -60 + -1x

Reorder the terms:
-63 + 11x + 2x2 = 60 + -60 + x + -1x

Combine like terms: 60 + -60 = 0
-63 + 11x + 2x2 = 0 + x + -1x
-63 + 11x + 2x2 = x + -1x

Combine like terms: x + -1x = 0
-63 + 11x + 2x2 = 0

Factor a trinomial.
(-9 + -1x)(7 + -2x) = 0

Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

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

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

Divide each side by '-1'.
x = -9

Simplifying
x = -9
Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {-9, 3.5}