(16+2x)(24+2x)=1280

Simple and best practice solution for (16+2x)(24+2x)=1280 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)(24+2x)=1280 equation: 


Simplifying
(16 + 2x)(24 + 2x) = 1280

Multiply (16 + 2x) * (24 + 2x)
(16(24 + 2x) + 2x * (24 + 2x)) = 1280
((24 * 16 + 2x * 16) + 2x * (24 + 2x)) = 1280
((384 + 32x) + 2x * (24 + 2x)) = 1280
(384 + 32x + (24 * 2x + 2x * 2x)) = 1280
(384 + 32x + (48x + 4x2)) = 1280

Combine like terms: 32x + 48x = 80x
(384 + 80x + 4x2) = 1280

Solving
384 + 80x + 4x2 = 1280

Solving for variable 'x'.

Reorder the terms:
384 + -1280 + 80x + 4x2 = 1280 + -1280

Combine like terms: 384 + -1280 = -896
-896 + 80x + 4x2 = 1280 + -1280

Combine like terms: 1280 + -1280 = 0
-896 + 80x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-224 + 20x + x2) = 0

Factor a trinomial.
4((-28 + -1x)(8 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-28 + -1x)' equal to zero and attempt to solve:

Simplifying
-28 + -1x = 0

Solving
-28 + -1x = 0

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

Add '28' to each side of the equation.
-28 + 28 + -1x = 0 + 28

Combine like terms: -28 + 28 = 0
0 + -1x = 0 + 28
-1x = 0 + 28

Combine like terms: 0 + 28 = 28
-1x = 28

Divide each side by '-1'.
x = -28

Simplifying
x = -28

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-28, 8}

See similar equations:

| 2(1.7+1.3)+2y=2 | | 5x^4-14x^2-3=0 | | 4x+24=64 | | 2x+68=180 | | (2x-3)(x+6)=(x-9)(x+2) | | 4x+24=32 | | (38/7)-y=10 | | 3(5a-2)-20a+10= | | i=60+.5(200) | | 2k-5k=3(1-2K) | | 7-7x=72-42x | | 4x^2+1x-4=0 | | .05(4x+4)+4=x-0.33 | | 20u^3+88u^2-60u=0 | | -3(4-2y)+5y=-1 | | 146*53/73*1/4 | | 3x^3+3x^2+x+1=0 | | i=1.3(100) | | -3(4-2y)+5y=1 | | 38/14 | | 5/8x+1/5x | | e=60+.5(100) | | 15(t-2)+6t=7(3t+4)-11 | | p^3-13= | | 60.6=5/9(f-32) | | 9.1-k/1.2=-2.9 | | x-1=x^2-4x+3 | | i=1.3(50) | | 4x^2=9x-1 | | 214-3x=42+24 | | (8/7)-y=10 | | x+8/5=10 |

Equations solver categories