15x^2+55x=20

Solution for 15x^2+55x=20 equation:

Simplifying
15x2 + 55x = 20

Reorder the terms:
55x + 15x2 = 20

Solving
55x + 15x2 = 20

Solving for variable 'x'.

Reorder the terms:
-20 + 55x + 15x2 = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + 55x + 15x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-4 + 11x + 3x2) = 0

Factor a trinomial.
5((-4 + -1x)(1 + -3x)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 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 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4
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 = {-4, 0.3333333333}