0=2x^2+6x-80

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Solution for 0=2x^2+6x-80 equation:


Simplifying
0 = 2x2 + 6x + -80

Reorder the terms:
0 = -80 + 6x + 2x2

Solving
0 = -80 + 6x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + 80 = 80
80 + -6x + -2x2 = -80 + 6x + 2x2 + 80 + -6x + -2x2

Reorder the terms:
80 + -6x + -2x2 = -80 + 80 + 6x + -6x + 2x2 + -2x2

Combine like terms: -80 + 80 = 0
80 + -6x + -2x2 = 0 + 6x + -6x + 2x2 + -2x2
80 + -6x + -2x2 = 6x + -6x + 2x2 + -2x2

Combine like terms: 6x + -6x = 0
80 + -6x + -2x2 = 0 + 2x2 + -2x2
80 + -6x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
80 + -6x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(40 + -3x + -1x2) = 0

Factor a trinomial.
2((5 + -1x)(8 + x)) = 0

Ignore the factor 2.

Subproblem 1
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

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 = {5, -8}

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