5x^2+4x=57

Solution for 5x^2+4x=57 equation:

Simplifying
5x2 + 4x = 57

Reorder the terms:
4x + 5x2 = 57

Solving
4x + 5x2 = 57

Solving for variable 'x'.

Reorder the terms:
-57 + 4x + 5x2 = 57 + -57

Combine like terms: 57 + -57 = 0
-57 + 4x + 5x2 = 0

Factor a trinomial.
(-19 + -5x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-19 + -5x)' equal to zero and attempt to solve:

Simplifying
-19 + -5x = 0

Solving
-19 + -5x = 0

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

Add '19' to each side of the equation.
-19 + 19 + -5x = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -5x = 0 + 19
-5x = 0 + 19

Combine like terms: 0 + 19 = 19
-5x = 19

Divide each side by '-5'.
x = -3.8

Simplifying
x = -3.8
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

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

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-3.8, 3}