0=2x^2-10x-208

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Solution for 0=2x^2-10x-208 equation: 


Simplifying
0 = 2x2 + -10x + -208

Reorder the terms:
0 = -208 + -10x + 2x2

Solving
0 = -208 + -10x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + 208 = 208
208 + 10x + -2x2 = -208 + -10x + 2x2 + 208 + 10x + -2x2

Reorder the terms:
208 + 10x + -2x2 = -208 + 208 + -10x + 10x + 2x2 + -2x2

Combine like terms: -208 + 208 = 0
208 + 10x + -2x2 = 0 + -10x + 10x + 2x2 + -2x2
208 + 10x + -2x2 = -10x + 10x + 2x2 + -2x2

Combine like terms: -10x + 10x = 0
208 + 10x + -2x2 = 0 + 2x2 + -2x2
208 + 10x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
208 + 10x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(104 + 5x + -1x2) = 0

Factor a trinomial.
2((13 + -1x)(8 + x)) = 0

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8
Solution
x = {13, -8}

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