5x^2-7x-90=0

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Solution for 5x^2-7x-90=0 equation: 


Simplifying
5x2 + -7x + -90 = 0

Reorder the terms:
-90 + -7x + 5x2 = 0

Solving
-90 + -7x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-18 + -5x)(5 + -1x) = 0


Subproblem 1
Set the factor '(-18 + -5x)' equal to zero and attempt to solve:

Simplifying
-18 + -5x = 0

Solving
-18 + -5x = 0

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

Add '18' to each side of the equation.
-18 + 18 + -5x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -5x = 0 + 18
-5x = 0 + 18

Combine like terms: 0 + 18 = 18
-5x = 18

Divide each side by '-5'.
x = -3.6

Simplifying
x = -3.6

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 = {-3.6, 5}

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