10x^2-33x=-20

Solution for 10x^2-33x=-20 equation:

Simplifying
10x2 + -33x = -20

Reorder the terms:
-33x + 10x2 = -20

Solving
-33x + 10x2 = -20

Solving for variable 'x'.

Reorder the terms:
20 + -33x + 10x2 = -20 + 20

Combine like terms: -20 + 20 = 0
20 + -33x + 10x2 = 0

Factor a trinomial.
(4 + -5x)(5 + -2x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {0.8, 2.5}