2x^2+8x-128=0

Simple and best practice solution for 2x^2+8x-128=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+8x-128=0 equation: 


Simplifying
2x2 + 8x + -128 = 0

Reorder the terms:
-128 + 8x + 2x2 = 0

Solving
-128 + 8x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-64 + 4x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-64 + 4x + x2)' equal to zero and attempt to solve:

Simplifying
-64 + 4x + x2 = 0

Solving
-64 + 4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '64' to each side of the equation.
-64 + 4x + 64 + x2 = 0 + 64

Reorder the terms:
-64 + 64 + 4x + x2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 4x + x2 = 0 + 64
4x + x2 = 0 + 64

Combine like terms: 0 + 64 = 64
4x + x2 = 64

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = 64 + 4

Reorder the terms:
4 + 4x + x2 = 64 + 4

Combine like terms: 64 + 4 = 68
4 + 4x + x2 = 68

Factor a perfect square on the left side:
(x + 2)(x + 2) = 68

Calculate the square root of the right side: 8.246211251

Break this problem into two subproblems by setting 
(x + 2) equal to 8.246211251 and -8.246211251.


Subproblem 1
x + 2 = 8.246211251

Simplifying
x + 2 = 8.246211251

Reorder the terms:
2 + x = 8.246211251

Solving
2 + x = 8.246211251

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = 8.246211251 + -2

Combine like terms: 2 + -2 = 0
0 + x = 8.246211251 + -2
x = 8.246211251 + -2

Combine like terms: 8.246211251 + -2 = 6.246211251
x = 6.246211251

Simplifying
x = 6.246211251


Subproblem 2
x + 2 = -8.246211251

Simplifying
x + 2 = -8.246211251

Reorder the terms:
2 + x = -8.246211251

Solving
2 + x = -8.246211251

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + x = -8.246211251 + -2

Combine like terms: 2 + -2 = 0
0 + x = -8.246211251 + -2
x = -8.246211251 + -2

Combine like terms: -8.246211251 + -2 = -10.246211251
x = -10.246211251

Simplifying
x = -10.246211251


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.246211251, -10.246211251}
Solution
x = {6.246211251, -10.246211251}

See similar equations:

| 5/8÷7/9 | | 2(w+3w)=30 | | a/b=x/d | | 6x+2x+9=-2x+4-x | | ((-2x^2)-4)/(x^2) | | 2a+3b+c=1 | | -2/5-2/5 | | a+3c=1.5 | | 1=(v-3)/(v-4) | | 10x-17=7x+20 | | X^2+35-12x=0 | | ln(2x-6)+3=8 | | 8y-5=5y-5+3y | | 5(x-12)=78 | | 3(x+4)-5x+2.8= | | in(3x-4)+in(x+2)=In(2x+1)+In(x+2) | | 5x+6y=5x | | X+(25x)=400 | | X+25X=400 | | 0.2x-15=3 | | 8x+5y=350 | | X+.25x=400 | | x+0.1x=2000 | | 2(3x-7)+6=4(5x-1) | | 13=4h+5 | | -2x+18=9 | | 1/2x(x)=34 | | 0.5x+104=204 | | 6x-2=20x-4 | | K^2-4k-4=0 | | 0.15n+0.06(3825-n)=0.08(3825) | | 9Q+3Q^2=210 |

Equations solver categories