12x^2=-25x-12

Solution for 12x^2=-25x-12 equation:

Simplifying
12x2 = -25x + -12

Reorder the terms:
12x2 = -12 + -25x

Solving
12x2 = -12 + -25x

Solving for variable 'x'.

Reorder the terms:
12 + 25x + 12x2 = -12 + -25x + 12 + 25x

Reorder the terms:
12 + 25x + 12x2 = -12 + 12 + -25x + 25x

Combine like terms: -12 + 12 = 0
12 + 25x + 12x2 = 0 + -25x + 25x
12 + 25x + 12x2 = -25x + 25x

Combine like terms: -25x + 25x = 0
12 + 25x + 12x2 = 0

Factor a trinomial.
(4 + 3x)(3 + 4x) = 0

Subproblem 1
Set the factor '(4 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 0 + -4
3x = 0 + -4

Combine like terms: 0 + -4 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333
Subproblem 2
Set the factor '(3 + 4x)' equal to zero and attempt to solve:

Simplifying
3 + 4x = 0

Solving
3 + 4x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 0 + -3
4x = 0 + -3

Combine like terms: 0 + -3 = -3
4x = -3

Divide each side by '4'.
x = -0.75

Simplifying
x = -0.75
Solution
x = {-1.333333333, -0.75}