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

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


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

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

Combine like terms: 32x + 24x = 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:

| 5x+9y=-9 | | 4x^3+15x^2+18x+7=0 | | 186=6(1-5b) | | (N-8)(n-7)=0 | | 186=6(1-56) | | 6n-4n^2= | | y^2-6y-27= | | b^2=-3+4b | | .9x-.9(5-x)=1.8 | | 6x+6=-3x-39 | | 6x=5-9x | | 2y-x-3=0 | | (d/dx)[(x^6)/14] | | -(-1/3)^2 | | 8-(2h+3)=3h-5 | | (4x^2)-5+1=0 | | 81x4-(16u2v4/100) | | -5-9=4n+2 | | -(x-3)+5x-7=4(x-1) | | 7x+10=65+4x | | 3x^2=6-bx | | f(x)=3x^2+3x-18 | | H(-1/3)=-(-1/3)^2 | | (m+2)x^2+5x+2m=0 | | 3x-7(3-x)=13 | | (k-3)/(2k)=(3/6k)-1/4 | | -98=7(2x+2) | | 4.8x-1.3y=16.9 | | 2x-8(5-x)=17 | | F(x)=4x^2+30x+100 | | (-30(-7)-210(-3))= | | x=4cos^2x-3 |

Equations solver categories