5x^2-32x-469=0

Solution for 5x^2-32x-469=0 equation:

Simplifying
5x2 + -32x + -469 = 0

Reorder the terms:
-469 + -32x + 5x2 = 0

Solving
-469 + -32x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -1x)(67 + -5x) = 0

Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7
Subproblem 2
Set the factor '(67 + -5x)' equal to zero and attempt to solve:

Simplifying
67 + -5x = 0

Solving
67 + -5x = 0

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

Add '-67' to each side of the equation.
67 + -67 + -5x = 0 + -67

Combine like terms: 67 + -67 = 0
0 + -5x = 0 + -67
-5x = 0 + -67

Combine like terms: 0 + -67 = -67
-5x = -67

Divide each side by '-5'.
x = 13.4

Simplifying
x = 13.4
Solution
x = {-7, 13.4}