0=8x^2+12x+-20

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Solution for 0=8x^2+12x+-20 equation: 


Simplifying
0 = 8x2 + 12x + -20

Reorder the terms:
0 = -20 + 12x + 8x2

Solving
0 = -20 + 12x + 8x2

Solving for variable 'x'.

Combine like terms: 0 + 20 = 20
20 + -12x + -8x2 = -20 + 12x + 8x2 + 20 + -12x + -8x2

Reorder the terms:
20 + -12x + -8x2 = -20 + 20 + 12x + -12x + 8x2 + -8x2

Combine like terms: -20 + 20 = 0
20 + -12x + -8x2 = 0 + 12x + -12x + 8x2 + -8x2
20 + -12x + -8x2 = 12x + -12x + 8x2 + -8x2

Combine like terms: 12x + -12x = 0
20 + -12x + -8x2 = 0 + 8x2 + -8x2
20 + -12x + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
20 + -12x + -8x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(5 + -3x + -2x2) = 0

Factor a trinomial.
4((1 + -1x)(5 + 2x)) = 0

Ignore the factor 4.

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1

Subproblem 2
Set the factor '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 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 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5
Solution
x = {1, -2.5}

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