2(x*x)+24x+20x=236

Simple and best practice solution for 2(x*x)+24x+20x=236 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*x)+24x+20x=236 equation: 


Simplifying
2(x * x) + 24x + 20x = 236

Multiply x * x
2(x2) + 24x + 20x = 236

Reorder the terms:
24x + 20x + 2x2 = 236

Combine like terms: 24x + 20x = 44x
44x + 2x2 = 236

Solving
44x + 2x2 = 236

Solving for variable 'x'.

Reorder the terms:
-236 + 44x + 2x2 = 236 + -236

Combine like terms: 236 + -236 = 0
-236 + 44x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-118 + 22x + x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-118 + 22x + x2)' equal to zero and attempt to solve:

Simplifying
-118 + 22x + x2 = 0

Solving
-118 + 22x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '118' to each side of the equation.
-118 + 22x + 118 + x2 = 0 + 118

Reorder the terms:
-118 + 118 + 22x + x2 = 0 + 118

Combine like terms: -118 + 118 = 0
0 + 22x + x2 = 0 + 118
22x + x2 = 0 + 118

Combine like terms: 0 + 118 = 118
22x + x2 = 118

The x term is 22x.  Take half its coefficient (11).
Square it (121) and add it to both sides.

Add '121' to each side of the equation.
22x + 121 + x2 = 118 + 121

Reorder the terms:
121 + 22x + x2 = 118 + 121

Combine like terms: 118 + 121 = 239
121 + 22x + x2 = 239

Factor a perfect square on the left side:
(x + 11)(x + 11) = 239

Calculate the square root of the right side: 15.459624834

Break this problem into two subproblems by setting 
(x + 11) equal to 15.459624834 and -15.459624834.


Subproblem 1
x + 11 = 15.459624834

Simplifying
x + 11 = 15.459624834

Reorder the terms:
11 + x = 15.459624834

Solving
11 + x = 15.459624834

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + x = 15.459624834 + -11

Combine like terms: 11 + -11 = 0
0 + x = 15.459624834 + -11
x = 15.459624834 + -11

Combine like terms: 15.459624834 + -11 = 4.459624834
x = 4.459624834

Simplifying
x = 4.459624834


Subproblem 2
x + 11 = -15.459624834

Simplifying
x + 11 = -15.459624834

Reorder the terms:
11 + x = -15.459624834

Solving
11 + x = -15.459624834

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + x = -15.459624834 + -11

Combine like terms: 11 + -11 = 0
0 + x = -15.459624834 + -11
x = -15.459624834 + -11

Combine like terms: -15.459624834 + -11 = -26.459624834
x = -26.459624834

Simplifying
x = -26.459624834


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.459624834, -26.459624834}
Solution
x = {4.459624834, -26.459624834}

See similar equations:

| 4(x-3)+20=3(x-5) | | (0.0015*(924-b))=(1.17*b) | | 2(x+2*5+5x+x*x+2)=236 | | 2(x+2*5+5*x+x*x+2)=236 | | 2(x+2*5+5*x+5*x+2)=236 | | (0.51*(1021-b))=(1.4*b) | | x^3+2*x=43 | | 3x+-4=6+-1x | | x+22=9 | | 234+234+234=444 | | 4(5-z)=20 | | (463.5-0.5y)+y=927 | | 463.5-0.5y=927-y | | 123+123+123=333 | | (2-4x)-(3x^2-5)=12-(3x^2+6x+3) | | 50.18=x+2.745x | | 2x+y=545.36 | | X^2+y^2+8x-16y+19=0 | | 2x*5=8*x-11 | | 2x+y=927 | | 3x=5x*2 | | x^2+6=48 | | cosx=0.60 | | 4+6y=5y | | Z=(1+3i)(-i+2) | | (Z+9)(8z+2)= | | 5x^4-8x^3+24x^2-32x+12=0 | | 2(y-6)+12=65 | | x^3+3x+26=0 | | ydx+(x+1)dy=0 | | 2X^2+22x+11=0 | | 15=x^2-1 |

Equations solver categories