2x^2-16x-80=0

Simple and best practice solution for 2x^2-16x-80=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 2x^2-16x-80=0 equation: 


Simplifying
2x2 + -16x + -80 = 0

Reorder the terms:
-80 + -16x + 2x2 = 0

Solving
-80 + -16x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-40 + -8x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-40 + -8x + x2)' equal to zero and attempt to solve:

Simplifying
-40 + -8x + x2 = 0

Solving
-40 + -8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '40' to each side of the equation.
-40 + -8x + 40 + x2 = 0 + 40

Reorder the terms:
-40 + 40 + -8x + x2 = 0 + 40

Combine like terms: -40 + 40 = 0
0 + -8x + x2 = 0 + 40
-8x + x2 = 0 + 40

Combine like terms: 0 + 40 = 40
-8x + x2 = 40

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = 40 + 16

Reorder the terms:
16 + -8x + x2 = 40 + 16

Combine like terms: 40 + 16 = 56
16 + -8x + x2 = 56

Factor a perfect square on the left side:
(x + -4)(x + -4) = 56

Calculate the square root of the right side: 7.483314774

Break this problem into two subproblems by setting 
(x + -4) equal to 7.483314774 and -7.483314774.


Subproblem 1
x + -4 = 7.483314774

Simplifying
x + -4 = 7.483314774

Reorder the terms:
-4 + x = 7.483314774

Solving
-4 + x = 7.483314774

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + x = 7.483314774 + 4

Combine like terms: -4 + 4 = 0
0 + x = 7.483314774 + 4
x = 7.483314774 + 4

Combine like terms: 7.483314774 + 4 = 11.483314774
x = 11.483314774

Simplifying
x = 11.483314774


Subproblem 2
x + -4 = -7.483314774

Simplifying
x + -4 = -7.483314774

Reorder the terms:
-4 + x = -7.483314774

Solving
-4 + x = -7.483314774

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + x = -7.483314774 + 4

Combine like terms: -4 + 4 = 0
0 + x = -7.483314774 + 4
x = -7.483314774 + 4

Combine like terms: -7.483314774 + 4 = -3.483314774
x = -3.483314774

Simplifying
x = -3.483314774


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {11.483314774, -3.483314774}
Solution
x = {11.483314774, -3.483314774}

See similar equations:

| 3960-972x+58x^2-x^3=3564 | | x(3-y)=7 | | x^2-mx=5 | | 2x-6=10x+6 | | 25+6y=5 | | 4(6)-3(6)= | | Y=-5/4-2 | | 2x+4=28x | | 24x+8=142 | | 8x-7=6x+7 | | 10y=x-1 | | 6+5Y=41 | | 3.6x^2-8x=-16 | | Y-3x=18 | | 3x-19=-4x+9 | | 9+4y=5 | | 2a+2a=12 | | y-1=5y-7 | | ln(x)-5ln(y)=0 | | 5y+2=9+7y | | 0=(x^2)-5x+30 | | x(3x-2)=(x-1)(3x+2) | | 4w+80=3w+135 | | .56+.26t=1.20t-.85 | | 4.9x^2+5x+40=0 | | 6x+9=40 | | 4.9x+40.5=11.5-9.6x | | .3x-.8-39=1 | | 3y-2y+9=14 | | y+5=4y+20 | | 2t+3t=54 | | 10-3y=-2 |

Equations solver categories