10x+(5x+36)+(x^2)=360

Simple and best practice solution for 10x+(5x+36)+(x^2)=360 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 10x+(5x+36)+(x^2)=360 equation: 


Simplifying
10x + (5x + 36) + (x2) = 360

Reorder the terms:
10x + (36 + 5x) + (x2) = 360

Remove parenthesis around (36 + 5x)
10x + 36 + 5x + (x2) = 360
10x + 36 + 5x + x2 = 360

Reorder the terms:
36 + 10x + 5x + x2 = 360

Combine like terms: 10x + 5x = 15x
36 + 15x + x2 = 360

Solving
36 + 15x + x2 = 360

Solving for variable 'x'.

Reorder the terms:
36 + -360 + 15x + x2 = 360 + -360

Combine like terms: 36 + -360 = -324
-324 + 15x + x2 = 360 + -360

Combine like terms: 360 + -360 = 0
-324 + 15x + x2 = 0

Factor a trinomial.
(-27 + -1x)(12 + -1x) = 0


Subproblem 1
Set the factor '(-27 + -1x)' equal to zero and attempt to solve:

Simplifying
-27 + -1x = 0

Solving
-27 + -1x = 0

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

Add '27' to each side of the equation.
-27 + 27 + -1x = 0 + 27

Combine like terms: -27 + 27 = 0
0 + -1x = 0 + 27
-1x = 0 + 27

Combine like terms: 0 + 27 = 27
-1x = 27

Divide each side by '-1'.
x = -27

Simplifying
x = -27

Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {-27, 12}

See similar equations:

| 7t-6=2t+6 | | -3y+47=7(y+1) | | -2x+3=-5-2 | | 0.5x-0.4(70+x)=-0.3(70) | | 4x-(9x+3)=8x-42 | | 7x+3(-5x-9)=-75 | | 73=15+m | | 20=x+29 | | y=18+-1.5x | | 29x+23y=5943 | | 45+(4x)=61(2x) | | -2t(-9+9t)= | | 0=-3+12-9 | | 7x-x+1=25 | | 0.14(50)+0.8x=0.5(50+x) | | (10x-8)+(4x+12)=96 | | 18x+54y= | | 6x^6+12x^3+15x^2= | | -(3z-(6z+9))=9+(2z+3) | | 5m^2=176-m^4 | | x(x+2)-x(-6)=10x-12 | | x(x+2)-x(-6)=10x-2 | | 12x+6=5(2x-2)+2x+16 | | 9x+7y=50.2 | | 2m+3n+7m+9n= | | W=uv+v | | 4148.9448=2*3.14*r^2+2*3.14*r+42.5 | | 4x+2(-4x-4)=16 | | 3x^2=2025 | | 3x^3=2025 | | x^2+16=-8 | | -[2z-(5z+1)]=1+(2z+2) |

Equations solver categories