16x^2+8x=80

Solution for 16x^2+8x=80 equation:

Simplifying
16x2 + 8x = 80

Reorder the terms:
8x + 16x2 = 80

Solving
8x + 16x2 = 80

Solving for variable 'x'.

Reorder the terms:
-80 + 8x + 16x2 = 80 + -80

Combine like terms: 80 + -80 = 0
-80 + 8x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-10 + x + 2x2) = 0

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

Ignore the factor 8.
Subproblem 1
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
Subproblem 2
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
Solution
x = {-2.5, 2}