5x^2-6x-32=0

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Solution for 5x^2-6x-32=0 equation: 


Simplifying
5x2 + -6x + -32 = 0

Reorder the terms:
-32 + -6x + 5x2 = 0

Solving
-32 + -6x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -1x)(16 + -5x) = 0


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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(16 + -5x)' equal to zero and attempt to solve:

Simplifying
16 + -5x = 0

Solving
16 + -5x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -5x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -5x = 0 + -16
-5x = 0 + -16

Combine like terms: 0 + -16 = -16
-5x = -16

Divide each side by '-5'.
x = 3.2

Simplifying
x = 3.2
Solution
x = {-2, 3.2}

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