.5(2x+8)(x+3)=56

Simple and best practice solution for .5(2x+8)(x+3)=56 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 .5(2x+8)(x+3)=56 equation: 


Simplifying
0.5(2x + 8)(x + 3) = 56

Reorder the terms:
0.5(8 + 2x)(x + 3) = 56

Reorder the terms:
0.5(8 + 2x)(3 + x) = 56

Multiply (8 + 2x) * (3 + x)
0.5(8(3 + x) + 2x * (3 + x)) = 56
0.5((3 * 8 + x * 8) + 2x * (3 + x)) = 56
0.5((24 + 8x) + 2x * (3 + x)) = 56
0.5(24 + 8x + (3 * 2x + x * 2x)) = 56
0.5(24 + 8x + (6x + 2x2)) = 56

Combine like terms: 8x + 6x = 14x
0.5(24 + 14x + 2x2) = 56
(24 * 0.5 + 14x * 0.5 + 2x2 * 0.5) = 56
(12 + 7x + 1x2) = 56

Solving
12 + 7x + 1x2 = 56

Solving for variable 'x'.

Reorder the terms:
12 + -56 + 7x + 1x2 = 56 + -56

Combine like terms: 12 + -56 = -44
-44 + 7x + 1x2 = 56 + -56

Combine like terms: 56 + -56 = 0
-44 + 7x + 1x2 = 0

Factor a trinomial.
(-11 + -1x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve:

Simplifying
-11 + -1x = 0

Solving
-11 + -1x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = 0 + 11
-1x = 0 + 11

Combine like terms: 0 + 11 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-11, 4}

See similar equations:

| 32b^2+12b=0 | | 10X(9X+4)-5X^2= | | .2(k-4)=-4 | | (2w+10)(w-2)=190 | | 3X+4X(8-10X)= | | 2x=-5x+21 | | 5(x+2)-2(x+2)= | | 12=5g+8-g | | x^6-2x^4-4x^2+8=0 | | 4n+8=x+2 | | 14-10=2c | | 23/4= | | -16t^2+1700=1000 | | 8X(4+3X)+10X= | | (4x+2)+3(x+1)= | | 11(9+d)= | | 3(-5y+3)-2y=-8 | | 4x+1=9+x | | 2s+10=3s+42 | | -4j=-96 | | 450000-22000m=0 | | 1.3333333333=x^3 | | 2(w-5)(w-2)=190 | | m^3-27=0 | | 8y-10+3y-2-1y= | | 99+10x=189 | | 2(w+5)(w-2)=190 | | -26z-13z+10-38z=-36+26z+20z+18z | | (3x+6)-(x+6)= | | 30+1.50n=12+3n | | 5x+25=55 | | 5y-9+y+55=8y+50-6y |

Equations solver categories