x(x+12)=10x+35

Simple and best practice solution for x(x+12)=10x+35 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 x(x+12)=10x+35 equation: 


Simplifying
x(x + 12) = 10x + 35

Reorder the terms:
x(12 + x) = 10x + 35
(12 * x + x * x) = 10x + 35
(12x + x2) = 10x + 35

Reorder the terms:
12x + x2 = 35 + 10x

Solving
12x + x2 = 35 + 10x

Solving for variable 'x'.

Reorder the terms:
-35 + 12x + -10x + x2 = 35 + 10x + -35 + -10x

Combine like terms: 12x + -10x = 2x
-35 + 2x + x2 = 35 + 10x + -35 + -10x

Reorder the terms:
-35 + 2x + x2 = 35 + -35 + 10x + -10x

Combine like terms: 35 + -35 = 0
-35 + 2x + x2 = 0 + 10x + -10x
-35 + 2x + x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
-35 + 2x + x2 = 0

Factor a trinomial.
(-7 + -1x)(5 + -1x) = 0


Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-7, 5}

See similar equations:

| x^2=9x+22 | | x+2/3=5x-46 | | 3x-2x+5x=7-3 | | 3x-7/12=2x-3/6-x-1/8 | | 5xX-7=7xX+13 | | 5+4x=29 | | x*2.6/100+x=354756 | | 4x+32X+64=0 | | 10x+3(2-x)=5(x+2)-4 | | 1.25(x-1)=0.5(3x-1)-1 | | 14.3(x+2)+13.7(x-3)=15.5 | | x(x+3)=5x+3 | | 3(x+6)-4(4-2x)=7x+6 | | 18.6x+7.2=1.5(48-2x) | | 19.1x-4(x+0.3)=-46.5 | | 20-x=x | | 3+4lnx=7 | | 2x^2+10x-11= | | 14+7s=s | | 5x=16+3x | | -2.5=0.1 | | x^2+10x-11= | | 12x+8=44-6x | | 3.2km=m | | 3.2Km= | | n+(n+6)=-4 | | x+8-2(x-1)=3x-6 | | -(q-23)=55 | | 60=4h+9 | | -(4-8p)=-49 | | y^2=2px | | 8(5-12y)=152 |

Equations solver categories