4x^2+40x-80=0

Simple and best practice solution for 4x^2+40x-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 4x^2+40x-80=0 equation: 


Simplifying
4x2 + 40x + -80 = 0

Reorder the terms:
-80 + 40x + 4x2 = 0

Solving
-80 + 40x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-20 + 10x + x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-20 + 10x + x2)' equal to zero and attempt to solve:

Simplifying
-20 + 10x + x2 = 0

Solving
-20 + 10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '20' to each side of the equation.
-20 + 10x + 20 + x2 = 0 + 20

Reorder the terms:
-20 + 20 + 10x + x2 = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 10x + x2 = 0 + 20
10x + x2 = 0 + 20

Combine like terms: 0 + 20 = 20
10x + x2 = 20

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = 20 + 25

Reorder the terms:
25 + 10x + x2 = 20 + 25

Combine like terms: 20 + 25 = 45
25 + 10x + x2 = 45

Factor a perfect square on the left side:
(x + 5)(x + 5) = 45

Calculate the square root of the right side: 6.708203933

Break this problem into two subproblems by setting 
(x + 5) equal to 6.708203933 and -6.708203933.


Subproblem 1
x + 5 = 6.708203933

Simplifying
x + 5 = 6.708203933

Reorder the terms:
5 + x = 6.708203933

Solving
5 + x = 6.708203933

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + x = 6.708203933 + -5

Combine like terms: 5 + -5 = 0
0 + x = 6.708203933 + -5
x = 6.708203933 + -5

Combine like terms: 6.708203933 + -5 = 1.708203933
x = 1.708203933

Simplifying
x = 1.708203933


Subproblem 2
x + 5 = -6.708203933

Simplifying
x + 5 = -6.708203933

Reorder the terms:
5 + x = -6.708203933

Solving
5 + x = -6.708203933

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + x = -6.708203933 + -5

Combine like terms: 5 + -5 = 0
0 + x = -6.708203933 + -5
x = -6.708203933 + -5

Combine like terms: -6.708203933 + -5 = -11.708203933
x = -11.708203933

Simplifying
x = -11.708203933


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.708203933, -11.708203933}
Solution
x = {1.708203933, -11.708203933}

See similar equations:

| 2m^2+12m+3=0 | | n+3=49 | | 5j+j=54 | | 14+q=62 | | 16+n=40 | | 3y^2+3y=9y | | x=2(48)+2(75) | | (3b-2)(2b-3)=0 | | 28+n=47 | | 8y=7y+35 | | 12y^3-9-36-27=0 | | 56=n+14 | | 4x-9=(-7x)+13 | | y^2-3y+3=0 | | t+8=15 | | m+8=21 | | 5-x^2-2=x^2-4 | | (3n+7)(3n-7)= | | 2y^2+6y=-3 | | -3(x-5)=-2x | | 4x=4x+8-x^2+10 | | 3x^2=-2x-2 | | 2x(8x-3)=0 | | t-32=96 | | -24-(-13)= | | x(4+22)=12 | | x/8+2=3x/4-3 | | (x-24)=(2x-130) | | x^2+x^2+2=x^2+4 | | 3x^2+15x=-18 | | 3(x-4)=1-(2x-7) | | 4(3y+1)=2(y-8) |

Equations solver categories