2(x^2+34+x)=268

Simple and best practice solution for 2(x^2+34+x)=268 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 2(x^2+34+x)=268 equation: 


Simplifying
2(x2 + 34 + x) = 268

Reorder the terms:
2(34 + x + x2) = 268
(34 * 2 + x * 2 + x2 * 2) = 268
(68 + 2x + 2x2) = 268

Solving
68 + 2x + 2x2 = 268

Solving for variable 'x'.

Reorder the terms:
68 + -268 + 2x + 2x2 = 268 + -268

Combine like terms: 68 + -268 = -200
-200 + 2x + 2x2 = 268 + -268

Combine like terms: 268 + -268 = 0
-200 + 2x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-100 + x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-100 + x + x2)' equal to zero and attempt to solve:

Simplifying
-100 + x + x2 = 0

Solving
-100 + x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '100' to each side of the equation.
-100 + x + 100 + x2 = 0 + 100

Reorder the terms:
-100 + 100 + x + x2 = 0 + 100

Combine like terms: -100 + 100 = 0
0 + x + x2 = 0 + 100
x + x2 = 0 + 100

Combine like terms: 0 + 100 = 100
x + x2 = 100

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
x + 0.25 + x2 = 100 + 0.25

Reorder the terms:
0.25 + x + x2 = 100 + 0.25

Combine like terms: 100 + 0.25 = 100.25
0.25 + x + x2 = 100.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 100.25

Calculate the square root of the right side: 10.012492197

Break this problem into two subproblems by setting 
(x + 0.5) equal to 10.012492197 and -10.012492197.


Subproblem 1
x + 0.5 = 10.012492197

Simplifying
x + 0.5 = 10.012492197

Reorder the terms:
0.5 + x = 10.012492197

Solving
0.5 + x = 10.012492197

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = 10.012492197 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = 10.012492197 + -0.5
x = 10.012492197 + -0.5

Combine like terms: 10.012492197 + -0.5 = 9.512492197
x = 9.512492197

Simplifying
x = 9.512492197


Subproblem 2
x + 0.5 = -10.012492197

Simplifying
x + 0.5 = -10.012492197

Reorder the terms:
0.5 + x = -10.012492197

Solving
0.5 + x = -10.012492197

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = -10.012492197 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = -10.012492197 + -0.5
x = -10.012492197 + -0.5

Combine like terms: -10.012492197 + -0.5 = -10.512492197
x = -10.512492197

Simplifying
x = -10.512492197


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {9.512492197, -10.512492197}
Solution
x = {9.512492197, -10.512492197}

See similar equations:

| 3x^3-75=0 | | 0.30x+0.5(18-x)=.10(14) | | 7-3.3x=2x-9.7 | | -8y+5=-9+3 | | (b/7)^2 | | 3p+4=2p+6 | | 5,5x+1,5=9x+6 | | 4(x+6)+4=6x-2 | | 8-x^2=39 | | 4(x+6)+4=6x+2 | | .30x+0.5(18-x)=.10(14) | | 2m+23=5m-4 | | 5n+3=45 | | 95-23.96X=-71.04 | | 9(m-2)=3+40 | | -2p+7=6-(11p+2) | | M+2=3n | | 2(4X+3)=11X+4-3X+2 | | -7265+185x=12790 | | 1.00/4.00X=-3.00 | | 3x-11=-53 | | 1.00/4.00X=-4.5 | | -6=8+2v | | 14.00*1p=35 | | 6(m+2)=54 | | 14.00*1p=105 | | p-2.3=4.5 | | -2p+8=6-(11p+2) | | -(5w+v)+5(-2v-6w)= | | 12(3x+3)-7(2x-4)=2x-36 | | 2x^4-12x^3+22x-12x=0 | | (3m+4)(m-4)= |

Equations solver categories