(2x+12)(2x+18)=216

Simple and best practice solution for (2x+12)(2x+18)=216 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 (2x+12)(2x+18)=216 equation: 


Simplifying
(2x + 12)(2x + 18) = 216

Reorder the terms:
(12 + 2x)(2x + 18) = 216

Reorder the terms:
(12 + 2x)(18 + 2x) = 216

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

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

Add '-216' to each side of the equation.
216 + 60x + -216 + 4x2 = 216 + -216

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

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

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

Solving
60x + 4x2 = 0

Solving for variable 'x'.

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

Ignore the factor 4.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(15 + x)' equal to zero and attempt to solve:

Simplifying
15 + x = 0

Solving
15 + x = 0

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

Add '-15' to each side of the equation.
15 + -15 + x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + x = 0 + -15
x = 0 + -15

Combine like terms: 0 + -15 = -15
x = -15

Simplifying
x = -15
Solution
x = {0, -15}

See similar equations:

| 7+21ln=4 | | 112=-4(5n-4)+4n | | (9x/5)-12 | | -13x-12=-(1+x)-12(x+3) | | 15(k+1)=-4 | | x-40+3x=180 | | 9x/5-12 | | 15x-2(10+5x)=2 | | 90+7x=139 | | 40+37=3x-13 | | 12x-5=4(2x-15) | | -7m+10m+11=-7 | | x^2-11x-2420=0 | | -19u=2u+9-6u | | 40x^2+12x-72=0 | | 12a^3-39a^2+9a=0 | | 150m-100m+38400=40800-150m | | -121=5p-4(-5p-1) | | 2x-8(7-x)=-86 | | -7+7x=5x-1 | | (.12)/1-(.12/.25) | | (3x-12)=(2x+38) | | 11.02=y-3.3 | | 23=6p-1 | | 20a+2a=-15a | | 4-6x=5x+11 | | 12+3(2y+5)= | | 3ay^2-48a=0 | | .12/1-.12*.25 | | 5/8=15/4xW | | 23-11/7=5c | | (1054.2-d)/d=0.71 |

Equations solver categories