832=(12+2x)(18+2x)

Simple and best practice solution for 832=(12+2x)(18+2x) 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 832=(12+2x)(18+2x) equation: 


Simplifying
832 = (12 + 2x)(18 + 2x)

Multiply (12 + 2x) * (18 + 2x)
832 = (12(18 + 2x) + 2x * (18 + 2x))
832 = ((18 * 12 + 2x * 12) + 2x * (18 + 2x))
832 = ((216 + 24x) + 2x * (18 + 2x))
832 = (216 + 24x + (18 * 2x + 2x * 2x))
832 = (216 + 24x + (36x + 4x2))

Combine like terms: 24x + 36x = 60x
832 = (216 + 60x + 4x2)

Solving
832 = 216 + 60x + 4x2

Solving for variable 'x'.

Combine like terms: 832 + -216 = 616
616 + -60x + -4x2 = 216 + 60x + 4x2 + -216 + -60x + -4x2

Reorder the terms:
616 + -60x + -4x2 = 216 + -216 + 60x + -60x + 4x2 + -4x2

Combine like terms: 216 + -216 = 0
616 + -60x + -4x2 = 0 + 60x + -60x + 4x2 + -4x2
616 + -60x + -4x2 = 60x + -60x + 4x2 + -4x2

Combine like terms: 60x + -60x = 0
616 + -60x + -4x2 = 0 + 4x2 + -4x2
616 + -60x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
616 + -60x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(154 + -15x + -1x2) = 0

Factor a trinomial.
4((7 + -1x)(22 + x)) = 0

Ignore the factor 4.

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 '(22 + x)' equal to zero and attempt to solve:

Simplifying
22 + x = 0

Solving
22 + x = 0

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

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

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

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

Simplifying
x = -22
Solution
x = {7, -22}

See similar equations:

| 14X^7/21X^4 | | 0.6x+1.2=0.8x-0.2 | | 101/4x1.5 | | 1/3(-3)=y | | 5x-9=5x+1 | | 1/3x-3=y | | (2x/x^2-8)=-2/7 | | 2000=(20+2x)(30+2x) | | -y+7=-9 | | 5-2x=79 | | 0.7x-4.6=0.3 | | x/8+4=x/8 | | 2x+5/6=3x+7/6 | | 5-2x=81 | | 58.6*5= | | .50x+.60(20)=.25(102) | | 2x-2=90 | | 1/3x=-9 | | 2-2x=90 | | 2x^2-8x-165=0 | | 12x-5+3x-3=11x-2+3x | | 5(x-7)-2=-37 | | 3x-9+3x-5=12x-3+3x | | 12x^2+13x+1=0 | | 6-(4y-8)=3-5y | | 11x^2-24x-261=0 | | 1/5x-2=-2 | | y=1/5(-5)-2 | | 5-1=0 | | 40x+50y=249 | | -13-2y=-3 | | 2x+3x=400 |

Equations solver categories