50x^2-55x=-12

Solution for 50x^2-55x=-12 equation:

Simplifying
50x2 + -55x = -12

Reorder the terms:
-55x + 50x2 = -12

Solving
-55x + 50x2 = -12

Solving for variable 'x'.

Reorder the terms:
12 + -55x + 50x2 = -12 + 12

Combine like terms: -12 + 12 = 0
12 + -55x + 50x2 = 0

Factor a trinomial.
(3 + -10x)(4 + -5x) = 0

Subproblem 1
Set the factor '(3 + -10x)' equal to zero and attempt to solve:

Simplifying
3 + -10x = 0

Solving
3 + -10x = 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 + -10x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -10x = 0 + -3
-10x = 0 + -3

Combine like terms: 0 + -3 = -3
-10x = -3

Divide each side by '-10'.
x = 0.3

Simplifying
x = 0.3
Subproblem 2
Set the factor '(4 + -5x)' equal to zero and attempt to solve:

Simplifying
4 + -5x = 0

Solving
4 + -5x = 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 + -5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 0 + -4
-5x = 0 + -4

Combine like terms: 0 + -4 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8
Solution
x = {0.3, 0.8}