26x^2+52x-6760=0

Simple and best practice solution for 26x^2+52x-6760=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 26x^2+52x-6760=0 equation: 


Simplifying
26x2 + 52x + -6760 = 0

Reorder the terms:
-6760 + 52x + 26x2 = 0

Solving
-6760 + 52x + 26x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '26'.
26(-260 + 2x + x2) = 0

Ignore the factor 26.

Subproblem 1
Set the factor '(-260 + 2x + x2)' equal to zero and attempt to solve:

Simplifying
-260 + 2x + x2 = 0

Solving
-260 + 2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '260' to each side of the equation.
-260 + 2x + 260 + x2 = 0 + 260

Reorder the terms:
-260 + 260 + 2x + x2 = 0 + 260

Combine like terms: -260 + 260 = 0
0 + 2x + x2 = 0 + 260
2x + x2 = 0 + 260

Combine like terms: 0 + 260 = 260
2x + x2 = 260

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = 260 + 1

Reorder the terms:
1 + 2x + x2 = 260 + 1

Combine like terms: 260 + 1 = 261
1 + 2x + x2 = 261

Factor a perfect square on the left side:
(x + 1)(x + 1) = 261

Calculate the square root of the right side: 16.155494421

Break this problem into two subproblems by setting 
(x + 1) equal to 16.155494421 and -16.155494421.


Subproblem 1
x + 1 = 16.155494421

Simplifying
x + 1 = 16.155494421

Reorder the terms:
1 + x = 16.155494421

Solving
1 + x = 16.155494421

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + x = 16.155494421 + -1

Combine like terms: 1 + -1 = 0
0 + x = 16.155494421 + -1
x = 16.155494421 + -1

Combine like terms: 16.155494421 + -1 = 15.155494421
x = 15.155494421

Simplifying
x = 15.155494421


Subproblem 2
x + 1 = -16.155494421

Simplifying
x + 1 = -16.155494421

Reorder the terms:
1 + x = -16.155494421

Solving
1 + x = -16.155494421

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + x = -16.155494421 + -1

Combine like terms: 1 + -1 = 0
0 + x = -16.155494421 + -1
x = -16.155494421 + -1

Combine like terms: -16.155494421 + -1 = -17.155494421
x = -17.155494421

Simplifying
x = -17.155494421


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {15.155494421, -17.155494421}
Solution
x = {15.155494421, -17.155494421}

See similar equations:

| -7(7x+1)=-301 | | 4(6-6x)=-264 | | 5x-8=4x-4 | | 6=4(x+3) | | 7(-5+x)=-91 | | -21y-28=60y-8 | | 3x+5=-4+2x | | 4x+13=72-2x | | -x+5=4x+15 | | 4(2d)-18-18-3d=32 | | 21y-28=60y-8 | | 25=30(x-1/2) | | x*x+3=54 | | 25=30(x+1/2) | | |1-x|=x-1 | | 4x^2-17x+5=-9x+2 | | -5x+8+2x=5 | | 12x+18=9x+3 | | 0.02(50)+0.50x=0.30(50+x) | | x+9-5x=29 | | 3x+3=96 | | 180=x+x+115 | | 9x+9=5x+13 | | 11x-19=102 | | (n-8)(n-3)= | | -7(-3v+1)-3v=6(v-2)-9 | | x^2*2.25-88=0 | | x^3p*x^2p-1=100 | | 6x^3-150x=0 | | 10y+4=3y+39 | | 8r+3=75 | | 92=9r-1 |

Equations solver categories