20+2x(26+2x)=832

Simple and best practice solution for 20+2x(26+2x)=832 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 20+2x(26+2x)=832 equation: 


Simplifying
20 + 2x(26 + 2x) = 832
20 + (26 * 2x + 2x * 2x) = 832
20 + (52x + 4x2) = 832

Solving
20 + 52x + 4x2 = 832

Solving for variable 'x'.

Reorder the terms:
20 + -832 + 52x + 4x2 = 832 + -832

Combine like terms: 20 + -832 = -812
-812 + 52x + 4x2 = 832 + -832

Combine like terms: 832 + -832 = 0
-812 + 52x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-203 + 13x + x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-203 + 13x + x2)' equal to zero and attempt to solve:

Simplifying
-203 + 13x + x2 = 0

Solving
-203 + 13x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '203' to each side of the equation.
-203 + 13x + 203 + x2 = 0 + 203

Reorder the terms:
-203 + 203 + 13x + x2 = 0 + 203

Combine like terms: -203 + 203 = 0
0 + 13x + x2 = 0 + 203
13x + x2 = 0 + 203

Combine like terms: 0 + 203 = 203
13x + x2 = 203

The x term is 13x.  Take half its coefficient (6.5).
Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.
13x + 42.25 + x2 = 203 + 42.25

Reorder the terms:
42.25 + 13x + x2 = 203 + 42.25

Combine like terms: 203 + 42.25 = 245.25
42.25 + 13x + x2 = 245.25

Factor a perfect square on the left side:
(x + 6.5)(x + 6.5) = 245.25

Calculate the square root of the right side: 15.660459763

Break this problem into two subproblems by setting 
(x + 6.5) equal to 15.660459763 and -15.660459763.


Subproblem 1
x + 6.5 = 15.660459763

Simplifying
x + 6.5 = 15.660459763

Reorder the terms:
6.5 + x = 15.660459763

Solving
6.5 + x = 15.660459763

Solving for variable 'x'.

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

Add '-6.5' to each side of the equation.
6.5 + -6.5 + x = 15.660459763 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + x = 15.660459763 + -6.5
x = 15.660459763 + -6.5

Combine like terms: 15.660459763 + -6.5 = 9.160459763
x = 9.160459763

Simplifying
x = 9.160459763


Subproblem 2
x + 6.5 = -15.660459763

Simplifying
x + 6.5 = -15.660459763

Reorder the terms:
6.5 + x = -15.660459763

Solving
6.5 + x = -15.660459763

Solving for variable 'x'.

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

Add '-6.5' to each side of the equation.
6.5 + -6.5 + x = -15.660459763 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + x = -15.660459763 + -6.5
x = -15.660459763 + -6.5

Combine like terms: -15.660459763 + -6.5 = -22.160459763
x = -22.160459763

Simplifying
x = -22.160459763


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {9.160459763, -22.160459763}
Solution
x = {9.160459763, -22.160459763}

See similar equations:

| 4x-21=-9 | | 3(5.25-0.25y)-y=0 | | x+4y=1500 | | -16t^2+33t-16=0 | | (2x-7)(4x-10)=0 | | 19pt=L | | -3(4x-1)+5=-16 | | Y=-3E+0.6*2+4E+0.7 | | x+x+14=62 | | 8y=-3(y-1) | | 8x+y=16whatisy | | 5(m+4)-6=2m+8 | | 6+4(1-3x)+5x=45 | | -2p+9=3(4-p) | | 3-5lnx=7 | | 14z+22x=21+4 | | 6(x+6)-5x=3 | | x-2.6=-5.3 | | (12)-(-6)= | | 3y-12=-9x | | 3x+3y+7x+8y= | | 15f=-48-9f | | F(2x)=2x-7 | | (3h+h)3-5h=3h+20 | | .9x+.05(10-x)=.1(124) | | 7n+2n-4=9n-6 | | 8y-3=6y-21 | | 0.4(x-4)=2x | | y=3logX-4logY | | 5y+3=11+y | | (4v^5-8v^2-4)-(8v^5-6v^2+17)= | | 4n=9+3n |

Equations solver categories