4x^2+56x=93

Solution for 4x^2+56x=93 equation:

Simplifying
4x2 + 56x = 93

Reorder the terms:
56x + 4x2 = 93

Solving
56x + 4x2 = 93

Solving for variable 'x'.

Reorder the terms:
-93 + 56x + 4x2 = 93 + -93

Combine like terms: 93 + -93 = 0
-93 + 56x + 4x2 = 0

Factor a trinomial.
(-31 + -2x)(3 + -2x) = 0

Subproblem 1
Set the factor '(-31 + -2x)' equal to zero and attempt to solve:

Simplifying
-31 + -2x = 0

Solving
-31 + -2x = 0

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

Add '31' to each side of the equation.
-31 + 31 + -2x = 0 + 31

Combine like terms: -31 + 31 = 0
0 + -2x = 0 + 31
-2x = 0 + 31

Combine like terms: 0 + 31 = 31
-2x = 31

Divide each side by '-2'.
x = -15.5

Simplifying
x = -15.5
Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {-15.5, 1.5}