4x^2+48x-81=0

Solution for 4x^2+48x-81=0 equation:

Simplifying
4x2 + 48x + -81 = 0

Reorder the terms:
-81 + 48x + 4x2 = 0

Solving
-81 + 48x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-27 + -2x)(3 + -2x) = 0

Subproblem 1
Set the factor '(-27 + -2x)' equal to zero and attempt to solve:

Simplifying
-27 + -2x = 0

Solving
-27 + -2x = 0

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

Add '27' to each side of the equation.
-27 + 27 + -2x = 0 + 27

Combine like terms: -27 + 27 = 0
0 + -2x = 0 + 27
-2x = 0 + 27

Combine like terms: 0 + 27 = 27
-2x = 27

Divide each side by '-2'.
x = -13.5

Simplifying
x = -13.5
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 = {-13.5, 1.5}