10x^2-33x-106=0

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Solution for 10x^2-33x-106=0 equation: 


Simplifying
10x2 + -33x + -106 = 0

Reorder the terms:
-106 + -33x + 10x2 = 0

Solving
-106 + -33x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -1x)(53 + -10x) = 0


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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(53 + -10x)' equal to zero and attempt to solve:

Simplifying
53 + -10x = 0

Solving
53 + -10x = 0

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

Add '-53' to each side of the equation.
53 + -53 + -10x = 0 + -53

Combine like terms: 53 + -53 = 0
0 + -10x = 0 + -53
-10x = 0 + -53

Combine like terms: 0 + -53 = -53
-10x = -53

Divide each side by '-10'.
x = 5.3

Simplifying
x = 5.3
Solution
x = {-2, 5.3}

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