5x^2-17x-40=(5x+8)

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Solution for 5x^2-17x-40=(5x+8) equation: 


Simplifying
5x2 + -17x + -40 = (5x + 8)

Reorder the terms:
-40 + -17x + 5x2 = (5x + 8)

Reorder the terms:
-40 + -17x + 5x2 = (8 + 5x)

Remove parenthesis around (8 + 5x)
-40 + -17x + 5x2 = 8 + 5x

Solving
-40 + -17x + 5x2 = 8 + 5x

Solving for variable 'x'.

Reorder the terms:
-40 + -8 + -17x + -5x + 5x2 = 8 + 5x + -8 + -5x

Combine like terms: -40 + -8 = -48
-48 + -17x + -5x + 5x2 = 8 + 5x + -8 + -5x

Combine like terms: -17x + -5x = -22x
-48 + -22x + 5x2 = 8 + 5x + -8 + -5x

Reorder the terms:
-48 + -22x + 5x2 = 8 + -8 + 5x + -5x

Combine like terms: 8 + -8 = 0
-48 + -22x + 5x2 = 0 + 5x + -5x
-48 + -22x + 5x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-48 + -22x + 5x2 = 0

Factor a trinomial.
(-8 + -5x)(6 + -1x) = 0


Subproblem 1
Set the factor '(-8 + -5x)' equal to zero and attempt to solve:

Simplifying
-8 + -5x = 0

Solving
-8 + -5x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -5x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -5x = 0 + 8
-5x = 0 + 8

Combine like terms: 0 + 8 = 8
-5x = 8

Divide each side by '-5'.
x = -1.6

Simplifying
x = -1.6

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-1.6, 6}

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