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

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


Simplifying
105 = -16x2 + 40x + 80

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

Solving
105 = 80 + 40x + -16x2

Solving for variable 'x'.

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

Reorder the terms:
25 + -40x + 16x2 = 80 + -80 + 40x + -40x + -16x2 + 16x2

Combine like terms: 80 + -80 = 0
25 + -40x + 16x2 = 0 + 40x + -40x + -16x2 + 16x2
25 + -40x + 16x2 = 40x + -40x + -16x2 + 16x2

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

Combine like terms: -16x2 + 16x2 = 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}

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