0=-16x^2-16x+5

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Solution for 0=-16x^2-16x+5 equation: 


Simplifying
0 = -16x2 + -16x + 5

Reorder the terms:
0 = 5 + -16x + -16x2

Solving
0 = 5 + -16x + -16x2

Solving for variable 'x'.

Combine like terms: 0 + -5 = -5
-5 + 16x + 16x2 = 5 + -16x + -16x2 + -5 + 16x + 16x2

Reorder the terms:
-5 + 16x + 16x2 = 5 + -5 + -16x + 16x + -16x2 + 16x2

Combine like terms: 5 + -5 = 0
-5 + 16x + 16x2 = 0 + -16x + 16x + -16x2 + 16x2
-5 + 16x + 16x2 = -16x + 16x + -16x2 + 16x2

Combine like terms: -16x + 16x = 0
-5 + 16x + 16x2 = 0 + -16x2 + 16x2
-5 + 16x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
-5 + 16x + 16x2 = 0

Factor a trinomial.
(-5 + -4x)(1 + -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 '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 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 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25
Solution
x = {-1.25, 0.25}

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