(2x+12)(2x+16)=396

Simple and best practice solution for (2x+12)(2x+16)=396 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+16)=396 equation: 


Simplifying
(2x + 12)(2x + 16) = 396

Reorder the terms:
(12 + 2x)(2x + 16) = 396

Reorder the terms:
(12 + 2x)(16 + 2x) = 396

Multiply (12 + 2x) * (16 + 2x)
(12(16 + 2x) + 2x * (16 + 2x)) = 396
((16 * 12 + 2x * 12) + 2x * (16 + 2x)) = 396
((192 + 24x) + 2x * (16 + 2x)) = 396
(192 + 24x + (16 * 2x + 2x * 2x)) = 396
(192 + 24x + (32x + 4x2)) = 396

Combine like terms: 24x + 32x = 56x
(192 + 56x + 4x2) = 396

Solving
192 + 56x + 4x2 = 396

Solving for variable 'x'.

Reorder the terms:
192 + -396 + 56x + 4x2 = 396 + -396

Combine like terms: 192 + -396 = -204
-204 + 56x + 4x2 = 396 + -396

Combine like terms: 396 + -396 = 0
-204 + 56x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-51 + 14x + x2) = 0

Factor a trinomial.
4((-17 + -1x)(3 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-17 + -1x)' equal to zero and attempt to solve:

Simplifying
-17 + -1x = 0

Solving
-17 + -1x = 0

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

Add '17' to each side of the equation.
-17 + 17 + -1x = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -1x = 0 + 17
-1x = 0 + 17

Combine like terms: 0 + 17 = 17
-1x = 17

Divide each side by '-1'.
x = -17

Simplifying
x = -17

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-17, 3}

See similar equations:

| 6=16-2m+m | | m-6=-34 | | 2(48)+158=x | | X(0.15)=2100 | | 143+x=54 | | x+174=180 | | 3x^2=-10x-8 | | c^2-15c-96=0 | | 102k=48 | | 5t^2+30t=25 | | 5t^2+30=0 | | x^2+11x=6 | | 5t^2+30=25 | | 7(y+4)-3(1+y)=-19 | | 74-i=59 | | 4n+0.24=16.76 | | 220-k=180 | | x+3x+(x-33)=150 | | -20=x-25 | | 7x+5(X+3)+4x+X+2= | | 2=3x-4x^2 | | x+2x+(x-10)=70 | | 6=3(4x+2) | | f(6.2)=4(6.2)+2 | | f(-4)=4(-4)+2 | | Log(-4a-9)=log(-2a-1) | | F(x)=-(x-7)2-21 | | 3x^2-7x+4x=0 | | -8b=-8 | | 5m-10m-11m-m-18=12 | | y-7=2x-10 | | 4s-2s+3=19 |

Equations solver categories