240+68=(20+2x)(12+2x)

Simple and best practice solution for 240+68=(20+2x)(12+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 240+68=(20+2x)(12+2x) equation: 


Simplifying
240 + 68 = (20 + 2x)(12 + 2x)

Combine like terms: 240 + 68 = 308
308 = (20 + 2x)(12 + 2x)

Multiply (20 + 2x) * (12 + 2x)
308 = (20(12 + 2x) + 2x * (12 + 2x))
308 = ((12 * 20 + 2x * 20) + 2x * (12 + 2x))
308 = ((240 + 40x) + 2x * (12 + 2x))
308 = (240 + 40x + (12 * 2x + 2x * 2x))
308 = (240 + 40x + (24x + 4x2))

Combine like terms: 40x + 24x = 64x
308 = (240 + 64x + 4x2)

Solving
308 = 240 + 64x + 4x2

Solving for variable 'x'.

Combine like terms: 308 + -240 = 68
68 + -64x + -4x2 = 240 + 64x + 4x2 + -240 + -64x + -4x2

Reorder the terms:
68 + -64x + -4x2 = 240 + -240 + 64x + -64x + 4x2 + -4x2

Combine like terms: 240 + -240 = 0
68 + -64x + -4x2 = 0 + 64x + -64x + 4x2 + -4x2
68 + -64x + -4x2 = 64x + -64x + 4x2 + -4x2

Combine like terms: 64x + -64x = 0
68 + -64x + -4x2 = 0 + 4x2 + -4x2
68 + -64x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
68 + -64x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(17 + -16x + -1x2) = 0

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

Ignore the factor 4.

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1

Subproblem 2
Set the factor '(17 + x)' equal to zero and attempt to solve:

Simplifying
17 + x = 0

Solving
17 + x = 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 + x = 0 + -17

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

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

Simplifying
x = -17
Solution
x = {1, -17}

See similar equations:

| 11c=-9+12c | | x-(0.25x)=50 | | 5m-58= | | x*30-x*2=0 | | sin(x)=0.785 | | 2(3x-2)+2(x)=68 | | 16x^2+8x+4= | | r^2+2r=45 | | .60x+.20(100)=.50(x+100) | | y^2+16y+35=0 | | 8+x-4=5 | | 95-n=81 | | 2t+10=6 | | x-0.2x=-1.6 | | 9+r=-48 | | v^2-12v=37 | | 3=4x^2-x-3 | | 4t=t+5 | | N+(3n+1.5)=12 | | -42=3x+6 | | -440=-22n | | -157=n+(-70) | | 4k=45 | | .7x+.15(80)=.6(x+80) | | m-28=59 | | -74=-80-x | | j^2-2j-42=0 | | 80-r=-11 | | -18=2(x-5)-6x | | 5x+35=7x | | w^2-20w=-13 | | 3(v+3)+5v=-39 |

Equations solver categories