4x^2+60x-99=0

Solution for 4x^2+60x-99=0 equation:

Simplifying
4x2 + 60x + -99 = 0

Reorder the terms:
-99 + 60x + 4x2 = 0

Solving
-99 + 60x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-33 + -2x)(3 + -2x) = 0

Subproblem 1
Set the factor '(-33 + -2x)' equal to zero and attempt to solve:

Simplifying
-33 + -2x = 0

Solving
-33 + -2x = 0

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

Add '33' to each side of the equation.
-33 + 33 + -2x = 0 + 33

Combine like terms: -33 + 33 = 0
0 + -2x = 0 + 33
-2x = 0 + 33

Combine like terms: 0 + 33 = 33
-2x = 33

Divide each side by '-2'.
x = -16.5

Simplifying
x = -16.5
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 = {-16.5, 1.5}