5x^2-18x-27=8

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Solution for 5x^2-18x-27=8 equation: 


Simplifying
5x2 + -18x + -27 = 8

Reorder the terms:
-27 + -18x + 5x2 = 8

Solving
-27 + -18x + 5x2 = 8

Solving for variable 'x'.

Reorder the terms:
-27 + -8 + -18x + 5x2 = 8 + -8

Combine like terms: -27 + -8 = -35
-35 + -18x + 5x2 = 8 + -8

Combine like terms: 8 + -8 = 0
-35 + -18x + 5x2 = 0

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


Subproblem 1
Set the factor '(-7 + -5x)' equal to zero and attempt to solve:

Simplifying
-7 + -5x = 0

Solving
-7 + -5x = 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 + -5x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -5x = 0 + 7
-5x = 0 + 7

Combine like terms: 0 + 7 = 7
-5x = 7

Divide each side by '-5'.
x = -1.4

Simplifying
x = -1.4

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-1.4, 5}

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