5(x^2)-12x-812=0

Solution for 5(x^2)-12x-812=0 equation:

Simplifying
5(x2) + -12x + -812 = 0

Reorder the terms:
-812 + -12x + 5x2 = 0

Solving
-812 + -12x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-58 + -5x)(14 + -1x) = 0

Subproblem 1
Set the factor '(-58 + -5x)' equal to zero and attempt to solve:

Simplifying
-58 + -5x = 0

Solving
-58 + -5x = 0

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

Add '58' to each side of the equation.
-58 + 58 + -5x = 0 + 58

Combine like terms: -58 + 58 = 0
0 + -5x = 0 + 58
-5x = 0 + 58

Combine like terms: 0 + 58 = 58
-5x = 58

Divide each side by '-5'.
x = -11.6

Simplifying
x = -11.6
Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14
Solution
x = {-11.6, 14}