8x^2+26x-40=0

Simple and best practice solution for 8x^2+26x-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 8x^2+26x-40=0 equation: 


Simplifying
8x2 + 26x + -40 = 0

Reorder the terms:
-40 + 26x + 8x2 = 0

Solving
-40 + 26x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-20 + 13x + 4x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-20 + 13x + 4x2)' equal to zero and attempt to solve:

Simplifying
-20 + 13x + 4x2 = 0

Solving
-20 + 13x + 4x2 = 0

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
-5 + 3.25x + x2 = 0

Move the constant term to the right:

Add '5' to each side of the equation.
-5 + 3.25x + 5 + x2 = 0 + 5

Reorder the terms:
-5 + 5 + 3.25x + x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3.25x + x2 = 0 + 5
3.25x + x2 = 0 + 5

Combine like terms: 0 + 5 = 5
3.25x + x2 = 5

The x term is 3.25x.  Take half its coefficient (1.625).
Square it (2.640625) and add it to both sides.

Add '2.640625' to each side of the equation.
3.25x + 2.640625 + x2 = 5 + 2.640625

Reorder the terms:
2.640625 + 3.25x + x2 = 5 + 2.640625

Combine like terms: 5 + 2.640625 = 7.640625
2.640625 + 3.25x + x2 = 7.640625

Factor a perfect square on the left side:
(x + 1.625)(x + 1.625) = 7.640625

Calculate the square root of the right side: 2.764168048

Break this problem into two subproblems by setting 
(x + 1.625) equal to 2.764168048 and -2.764168048.


Subproblem 1
x + 1.625 = 2.764168048

Simplifying
x + 1.625 = 2.764168048

Reorder the terms:
1.625 + x = 2.764168048

Solving
1.625 + x = 2.764168048

Solving for variable 'x'.

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

Add '-1.625' to each side of the equation.
1.625 + -1.625 + x = 2.764168048 + -1.625

Combine like terms: 1.625 + -1.625 = 0.000
0.000 + x = 2.764168048 + -1.625
x = 2.764168048 + -1.625

Combine like terms: 2.764168048 + -1.625 = 1.139168048
x = 1.139168048

Simplifying
x = 1.139168048


Subproblem 2
x + 1.625 = -2.764168048

Simplifying
x + 1.625 = -2.764168048

Reorder the terms:
1.625 + x = -2.764168048

Solving
1.625 + x = -2.764168048

Solving for variable 'x'.

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

Add '-1.625' to each side of the equation.
1.625 + -1.625 + x = -2.764168048 + -1.625

Combine like terms: 1.625 + -1.625 = 0.000
0.000 + x = -2.764168048 + -1.625
x = -2.764168048 + -1.625

Combine like terms: -2.764168048 + -1.625 = -4.389168048
x = -4.389168048

Simplifying
x = -4.389168048


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.139168048, -4.389168048}
Solution
x = {1.139168048, -4.389168048}

See similar equations:

| 4-7(x+1)=-5(x+3)+x | | a^2=12 | | p(t-1)=-2 | | -13x^2+6x-7x^2+8= | | 5x^2+2-127=0 | | x+3+3/x | | 2(4-3x)=6-(6x+1) | | -3x+13+1=0 | | 2b/c+3a | | -4/5=-4/3w+1/2 | | y=3.25+2.85(1) | | 3(-8)-5(2)=-13 | | -9mn-mn= | | 13/5t=-22 | | 13X=34+4X | | 4(4n-1)-(2n-1)=n-4+1-8n | | 12x^3+18x^5-24x^8= | | 4.2-x=12.4 | | 6w-6(x-2w)+2x= | | 14x*2+x-3=0 | | x/12-5 | | -2h+7=-19 | | (2r-3)/(r-3) | | 2a=1.2 | | 2a=1.3 | | (6a^3+4a^2+2a)/2a | | 0.6+0.3x=9+0.2x | | 1/2y-1/8=3y-5/8 | | 9x-2(3)=-7 | | y=3x(-4)+(-10)-(-6) | | 5(-2w+x)-3(-6x-5w)= | | 1/3(54.5-21.2) |

Equations solver categories