0=-16x^2+16x+8

Simple and best practice solution for 0=-16x^2+16x+8 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 0=-16x^2+16x+8 equation:


Simplifying
0 = -16x2 + 16x + 8

Reorder the terms:
0 = 8 + 16x + -16x2

Solving
0 = 8 + 16x + -16x2

Solving for variable 'x'.

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), '8'.
8(-1 + -2x + 2x2) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(-1 + -2x + 2x2)' equal to zero and attempt to solve:

Simplifying
-1 + -2x + 2x2 = 0

Solving
-1 + -2x + 2x2 = 0

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
-0.5 + -1x + x2 = 0

Move the constant term to the right:

Add '0.5' to each side of the equation.
-0.5 + -1x + 0.5 + x2 = 0 + 0.5

Reorder the terms:
-0.5 + 0.5 + -1x + x2 = 0 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + -1x + x2 = 0 + 0.5
-1x + x2 = 0 + 0.5

Combine like terms: 0 + 0.5 = 0.5
-1x + x2 = 0.5

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = 0.5 + 0.25

Reorder the terms:
0.25 + -1x + x2 = 0.5 + 0.25

Combine like terms: 0.5 + 0.25 = 0.75
0.25 + -1x + x2 = 0.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = 0.75

Calculate the square root of the right side: 0.866025404

Break this problem into two subproblems by setting 
(x + -0.5) equal to 0.866025404 and -0.866025404.


Subproblem 1
x + -0.5 = 0.866025404

Simplifying
x + -0.5 = 0.866025404

Reorder the terms:
-0.5 + x = 0.866025404

Solving
-0.5 + x = 0.866025404

Solving for variable 'x'.

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + x = 0.866025404 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + x = 0.866025404 + 0.5
x = 0.866025404 + 0.5

Combine like terms: 0.866025404 + 0.5 = 1.366025404
x = 1.366025404

Simplifying
x = 1.366025404


Subproblem 2
x + -0.5 = -0.866025404

Simplifying
x + -0.5 = -0.866025404

Reorder the terms:
-0.5 + x = -0.866025404

Solving
-0.5 + x = -0.866025404

Solving for variable 'x'.

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + x = -0.866025404 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + x = -0.866025404 + 0.5
x = -0.866025404 + 0.5

Combine like terms: -0.866025404 + 0.5 = -0.366025404
x = -0.366025404

Simplifying
x = -0.366025404


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.366025404, -0.366025404}
Solution
x = {1.366025404, -0.366025404}

See similar equations:

| 4t-2-2t=10 | | 36=4a | | 78-30y=33x | | ln(x-1)+ln(x-2)+ln(x+3)=ln(6) | | F(x)=ln(24x-4x^3) | | 11=-16x^2+16x+8 | | 3(y-3)=18 | | 76=482+22h | | 9x+2=5x+4 | | 100-a=62 | | (9x+2)=(5x+4) | | 53-a=15 | | -47=-8x-7 | | (a-5)and(a+3)= | | 3a+(-7a)= | | 3(3m-6+3m)=2m+2-4m | | A(n)=2+(n-1)(-2.5) | | 28(49)=x | | x^2+2y-12=0 | | A+87=121 | | 2x+2=4030 | | A-17=13 | | 0.75+3=4.5 | | 26+a=32 | | 12x-2(7-x)=4(2x+7) | | 10n+6-9n-12=-2 | | 89=4v+9 | | 14+2=-4(7x-4) | | 13a=221 | | 5a+8=10 | | 5m+20=6m+13 | | -8-7m=-78 |

Equations solver categories