-3=12x(x)+13x

Solution for -3=12x(x)+13x equation:

Simplifying
-3 = 12x(x) + 13x

Multiply x * x
-3 = 12x2 + 13x

Reorder the terms:
-3 = 13x + 12x2

Solving
-3 = 13x + 12x2

Solving for variable 'x'.

Reorder the terms:
-3 + -13x + -12x2 = 13x + -13x + 12x2 + -12x2

Combine like terms: 13x + -13x = 0
-3 + -13x + -12x2 = 0 + 12x2 + -12x2
-3 + -13x + -12x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-3 + -13x + -12x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + 13x + 12x2) = 0

Factor a trinomial.
-1((3 + 4x)(1 + 3x)) = 0

Ignore the factor -1.
Subproblem 1
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
Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve:

Simplifying
1 + 3x = 0

Solving
1 + 3x = 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 + 3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 0 + -1
3x = 0 + -1

Combine like terms: 0 + -1 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333
Solution
x = {-0.75, -0.3333333333}