81=16x^2+32x+16

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Solution for 81=16x^2+32x+16 equation: 


Simplifying
81 = 16x2 + 32x + 16

Reorder the terms:
81 = 16 + 32x + 16x2

Solving
81 = 16 + 32x + 16x2

Solving for variable 'x'.

Combine like terms: 81 + -16 = 65
65 + -32x + -16x2 = 16 + 32x + 16x2 + -16 + -32x + -16x2

Reorder the terms:
65 + -32x + -16x2 = 16 + -16 + 32x + -32x + 16x2 + -16x2

Combine like terms: 16 + -16 = 0
65 + -32x + -16x2 = 0 + 32x + -32x + 16x2 + -16x2
65 + -32x + -16x2 = 32x + -32x + 16x2 + -16x2

Combine like terms: 32x + -32x = 0
65 + -32x + -16x2 = 0 + 16x2 + -16x2
65 + -32x + -16x2 = 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
65 + -32x + -16x2 = 0

Factor a trinomial.
(5 + -4x)(13 + 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 '(13 + 4x)' equal to zero and attempt to solve:

Simplifying
13 + 4x = 0

Solving
13 + 4x = 0

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

Add '-13' to each side of the equation.
13 + -13 + 4x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 4x = 0 + -13
4x = 0 + -13

Combine like terms: 0 + -13 = -13
4x = -13

Divide each side by '4'.
x = -3.25

Simplifying
x = -3.25
Solution
x = {1.25, -3.25}

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