5x^2-3x-110=0

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Solution for 5x^2-3x-110=0 equation: 


Simplifying
5x2 + -3x + -110 = 0

Reorder the terms:
-110 + -3x + 5x2 = 0

Solving
-110 + -3x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-22 + -5x)(5 + -1x) = 0


Subproblem 1
Set the factor '(-22 + -5x)' equal to zero and attempt to solve:

Simplifying
-22 + -5x = 0

Solving
-22 + -5x = 0

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

Add '22' to each side of the equation.
-22 + 22 + -5x = 0 + 22

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

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

Divide each side by '-5'.
x = -4.4

Simplifying
x = -4.4

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 = {-4.4, 5}

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