12x^2-30x=-12

Solution for 12x^2-30x=-12 equation:

Simplifying
12x2 + -30x = -12

Reorder the terms:
-30x + 12x2 = -12

Solving
-30x + 12x2 = -12

Solving for variable 'x'.

Reorder the terms:
12 + -30x + 12x2 = -12 + 12

Combine like terms: -12 + 12 = 0
12 + -30x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(2 + -5x + 2x2) = 0

Factor a trinomial.
6((1 + -2x)(2 + -1x)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1

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

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

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0.5, 2}