0=3x^2+14x-80

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Solution for 0=3x^2+14x-80 equation: 


Simplifying
0 = 3x2 + 14x + -80

Reorder the terms:
0 = -80 + 14x + 3x2

Solving
0 = -80 + 14x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + 80 = 80
80 + -14x + -3x2 = -80 + 14x + 3x2 + 80 + -14x + -3x2

Reorder the terms:
80 + -14x + -3x2 = -80 + 80 + 14x + -14x + 3x2 + -3x2

Combine like terms: -80 + 80 = 0
80 + -14x + -3x2 = 0 + 14x + -14x + 3x2 + -3x2
80 + -14x + -3x2 = 14x + -14x + 3x2 + -3x2

Combine like terms: 14x + -14x = 0
80 + -14x + -3x2 = 0 + 3x2 + -3x2
80 + -14x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
80 + -14x + -3x2 = 0

Factor a trinomial.
(10 + -3x)(8 + x) = 0


Subproblem 1
Set the factor '(10 + -3x)' equal to zero and attempt to solve:

Simplifying
10 + -3x = 0

Solving
10 + -3x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -3x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 0 + -10
-3x = 0 + -10

Combine like terms: 0 + -10 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333

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 = {3.333333333, -8}

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