2(x^2+8x-40)=0

Simple and best practice solution for 2(x^2+8x-40)=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 2(x^2+8x-40)=0 equation: 


Simplifying
2(x2 + 8x + -40) = 0

Reorder the terms:
2(-40 + 8x + x2) = 0
(-40 * 2 + 8x * 2 + x2 * 2) = 0
(-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 = 3.483314774
x = 3.483314774

Simplifying
x = 3.483314774


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 = -11.483314774
x = -11.483314774

Simplifying
x = -11.483314774


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

See similar equations:

| -6+8y=14 | | 8x+4y-3=0 | | 3cos^2x-5sin^2x=equation | | (x-2)*(x-2)-(3-x)*(3-x)=1 | | 8a-16b/a-2b= | | 2logx-log(1-x)=1 | | 0=-16t+36t^2+130 | | q/2 | | 8a=-6a^2 | | 0=-16t+36t+130 | | -32=6(y-6)-8y | | 15/32=m/12 | | V=1/3×36×4 | | f(x)=6x-x^2-5 | | (3/5)^(2x)=25/9 | | xsquared+5x+1x+6= | | 21=3(1+2x) | | 6+m=-4 | | 4x-5y=-46 | | p/12=4/3 | | -2[4n+5]=-6[n-3]-8 | | 12-5z=9+z | | 9x+2=20+9 | | 12*4/3 | | x+x*x=36 | | y=225+7x | | 10z-3z-2z-3=2 | | 2+3+4+5=y | | 4/3*12 | | -2x-10=-5x+5 | | y=7x+225 | | 0=-16t^2+130 |

Equations solver categories