8x^2+40x-120=0

Simple and best practice solution for 8x^2+40x-120=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 8x^2+40x-120=0 equation: 


Simplifying
8x2 + 40x + -120 = 0

Reorder the terms:
-120 + 40x + 8x2 = 0

Solving
-120 + 40x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-15 + 5x + x2) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(-15 + 5x + x2)' equal to zero and attempt to solve:

Simplifying
-15 + 5x + x2 = 0

Solving
-15 + 5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '15' to each side of the equation.
-15 + 5x + 15 + x2 = 0 + 15

Reorder the terms:
-15 + 15 + 5x + x2 = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 5x + x2 = 0 + 15
5x + x2 = 0 + 15

Combine like terms: 0 + 15 = 15
5x + x2 = 15

The x term is 5x.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5x + 6.25 + x2 = 15 + 6.25

Reorder the terms:
6.25 + 5x + x2 = 15 + 6.25

Combine like terms: 15 + 6.25 = 21.25
6.25 + 5x + x2 = 21.25

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = 21.25

Calculate the square root of the right side: 4.609772229

Break this problem into two subproblems by setting 
(x + 2.5) equal to 4.609772229 and -4.609772229.


Subproblem 1
x + 2.5 = 4.609772229

Simplifying
x + 2.5 = 4.609772229

Reorder the terms:
2.5 + x = 4.609772229

Solving
2.5 + x = 4.609772229

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = 4.609772229 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = 4.609772229 + -2.5
x = 4.609772229 + -2.5

Combine like terms: 4.609772229 + -2.5 = 2.109772229
x = 2.109772229

Simplifying
x = 2.109772229


Subproblem 2
x + 2.5 = -4.609772229

Simplifying
x + 2.5 = -4.609772229

Reorder the terms:
2.5 + x = -4.609772229

Solving
2.5 + x = -4.609772229

Solving for variable 'x'.

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

Add '-2.5' to each side of the equation.
2.5 + -2.5 + x = -4.609772229 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + x = -4.609772229 + -2.5
x = -4.609772229 + -2.5

Combine like terms: -4.609772229 + -2.5 = -7.109772229
x = -7.109772229

Simplifying
x = -7.109772229


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {2.109772229, -7.109772229}
Solution
x = {2.109772229, -7.109772229}

See similar equations:

| 2(-2b-8)=8(-b-2) | | 5x^4-4x^6=0 | | 5x+35y=-45 | | 11/25-59/175 | | 2.83Z-8.2097=-3.71 | | 3(-2)-1.5y=1.5 | | 9x+6=-7+5x+21 | | 8-b/4=5 | | 4(-4b-1)=-2(b-5) | | 3xa=0.2 | | 5(6x+5)=30x+25 | | X(X-2)+9=X(X+7) | | 5(6x+5)=30+25 | | 6x^2-10x+4= | | 3(2)-1.5y=1.5 | | 16/2*3+25 | | 11/3*73/4 | | (x+3)2=8 | | (x-3)(x+4)+8=8 | | 2x+5+10=5x+12 | | 3y=-7x+2 | | 6x-y=42 | | -7(x-2)-24=-10 | | (c^2)-(2c)=35 | | -2(-3n+4)=n-(-4-5n) | | 3.2X=5.4X+K | | 3.2X+4=5.4X-7 | | 21(-2)=x | | 18x-14=12-18x | | (c^2)-2c=35 | | 3.40+1.19+0.15x=4.99+0.10x | | 2x+1.16=3x-1.16 |

Equations solver categories