10x^2-123x-91=0

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Solution for 10x^2-123x-91=0 equation: 


Simplifying
10x2 + -123x + -91 = 0

Reorder the terms:
-91 + -123x + 10x2 = 0

Solving
-91 + -123x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -10x)(13 + -1x) = 0


Subproblem 1
Set the factor '(-7 + -10x)' equal to zero and attempt to solve:

Simplifying
-7 + -10x = 0

Solving
-7 + -10x = 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 + -10x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -10x = 0 + 7
-10x = 0 + 7

Combine like terms: 0 + 7 = 7
-10x = 7

Divide each side by '-10'.
x = -0.7

Simplifying
x = -0.7

Subproblem 2
Set the factor '(13 + -1x)' equal to zero and attempt to solve:

Simplifying
13 + -1x = 0

Solving
13 + -1x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1x = 0 + -13
-1x = 0 + -13

Combine like terms: 0 + -13 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13
Solution
x = {-0.7, 13}

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