-16x^2+40x+80=105

Solution for -16x^2+40x+80=105 equation:

Simplifying
-16x2 + 40x + 80 = 105

Reorder the terms:
80 + 40x + -16x2 = 105

Solving
80 + 40x + -16x2 = 105

Solving for variable 'x'.

Reorder the terms:
80 + -105 + 40x + -16x2 = 105 + -105

Combine like terms: 80 + -105 = -25
-25 + 40x + -16x2 = 105 + -105

Combine like terms: 105 + -105 = 0
-25 + 40x + -16x2 = 0

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

Subproblem 1
Set the factor '(-5 + 4x)' equal to zero and attempt to solve:

Simplifying
-5 + 4x = 0

Solving
-5 + 4x = 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 + 4x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 4x = 0 + 5
4x = 0 + 5

Combine like terms: 0 + 5 = 5
4x = 5

Divide each side by '4'.
x = 1.25

Simplifying
x = 1.25
Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 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 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {1.25, 1.25}