5x^2-13x-154=0

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Solution for 5x^2-13x-154=0 equation: 


Simplifying
5x2 + -13x + -154 = 0

Reorder the terms:
-154 + -13x + 5x2 = 0

Solving
-154 + -13x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-22 + -5x)(7 + -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 '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-4.4, 7}

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