16x^2-88x-16=0

Simple and best practice solution for 16x^2-88x-16=0 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 16x^2-88x-16=0 equation: 


Simplifying
16x2 + -88x + -16 = 0

Reorder the terms:
-16 + -88x + 16x2 = 0

Solving
-16 + -88x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-2 + -11x + 2x2) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(-2 + -11x + 2x2)' equal to zero and attempt to solve:

Simplifying
-2 + -11x + 2x2 = 0

Solving
-2 + -11x + 2x2 = 0

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

Divide each side by '2'.
-1 + -5.5x + x2 = 0

Move the constant term to the right:

Add '1' to each side of the equation.
-1 + -5.5x + 1 + x2 = 0 + 1

Reorder the terms:
-1 + 1 + -5.5x + x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -5.5x + x2 = 0 + 1
-5.5x + x2 = 0 + 1

Combine like terms: 0 + 1 = 1
-5.5x + x2 = 1

The x term is -5.5x.  Take half its coefficient (-2.75).
Square it (7.5625) and add it to both sides.

Add '7.5625' to each side of the equation.
-5.5x + 7.5625 + x2 = 1 + 7.5625

Reorder the terms:
7.5625 + -5.5x + x2 = 1 + 7.5625

Combine like terms: 1 + 7.5625 = 8.5625
7.5625 + -5.5x + x2 = 8.5625

Factor a perfect square on the left side:
(x + -2.75)(x + -2.75) = 8.5625

Calculate the square root of the right side: 2.926174978

Break this problem into two subproblems by setting 
(x + -2.75) equal to 2.926174978 and -2.926174978.


Subproblem 1
x + -2.75 = 2.926174978

Simplifying
x + -2.75 = 2.926174978

Reorder the terms:
-2.75 + x = 2.926174978

Solving
-2.75 + x = 2.926174978

Solving for variable 'x'.

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

Add '2.75' to each side of the equation.
-2.75 + 2.75 + x = 2.926174978 + 2.75

Combine like terms: -2.75 + 2.75 = 0.00
0.00 + x = 2.926174978 + 2.75
x = 2.926174978 + 2.75

Combine like terms: 2.926174978 + 2.75 = 5.676174978
x = 5.676174978

Simplifying
x = 5.676174978


Subproblem 2
x + -2.75 = -2.926174978

Simplifying
x + -2.75 = -2.926174978

Reorder the terms:
-2.75 + x = -2.926174978

Solving
-2.75 + x = -2.926174978

Solving for variable 'x'.

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

Add '2.75' to each side of the equation.
-2.75 + 2.75 + x = -2.926174978 + 2.75

Combine like terms: -2.75 + 2.75 = 0.00
0.00 + x = -2.926174978 + 2.75
x = -2.926174978 + 2.75

Combine like terms: -2.926174978 + 2.75 = -0.176174978
x = -0.176174978

Simplifying
x = -0.176174978


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.676174978, -0.176174978}
Solution
x = {5.676174978, -0.176174978}

See similar equations:

| 12a+6x-3y=180 | | -3(6x-4)=-18x+12 | | 7x+7y=20 | | 7t(t-5)-2t(8t^2-4t+3)= | | 3(3x-9)=9(x-9) | | x+.7=3x-2.3 | | 2/5x-3/2=5/2x+6 | | 8y=x^2+2 | | 4x+7y=-95 | | 8y=5x+4x | | (3x^3+9x)(x^2-2)= | | x+.7=x+.6 | | 8(2x+1)(x-5)=121 | | 900+60x=75x+300 | | y-30+2y= | | (2x-8)(x+8)=1080 | | 60x+60=80x+12 | | -3+w=-(4w-2)-5 | | ln(2x+1)2-7=13 | | ln(3-5x)-2ln(x)=ln(2) | | 5x-40=4+4 | | 9-(2k-3)=9 | | f(-2)=-2+11 | | f(-2)=x+11 | | x^2-8x+16-12=13 | | ln(2x+1)-7=13 | | 60x+60=80x+60 | | 5x^2-4x+1=225 | | 4x+24=3x+37 | | 7z+49=119 | | (x*x)-8x+10=(x-p)2+q | | 2(x+y)dx+y*dy=0 |

Equations solver categories