8x(x+5)=4(2x+2)+32

Simple and best practice solution for 8x(x+5)=4(2x+2)+32 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 8x(x+5)=4(2x+2)+32 equation: 


Simplifying
8x(x + 5) = 4(2x + 2) + 32

Reorder the terms:
8x(5 + x) = 4(2x + 2) + 32
(5 * 8x + x * 8x) = 4(2x + 2) + 32
(40x + 8x2) = 4(2x + 2) + 32

Reorder the terms:
40x + 8x2 = 4(2 + 2x) + 32
40x + 8x2 = (2 * 4 + 2x * 4) + 32
40x + 8x2 = (8 + 8x) + 32

Reorder the terms:
40x + 8x2 = 8 + 32 + 8x

Combine like terms: 8 + 32 = 40
40x + 8x2 = 40 + 8x

Solving
40x + 8x2 = 40 + 8x

Solving for variable 'x'.

Reorder the terms:
-40 + 40x + -8x + 8x2 = 40 + 8x + -40 + -8x

Combine like terms: 40x + -8x = 32x
-40 + 32x + 8x2 = 40 + 8x + -40 + -8x

Reorder the terms:
-40 + 32x + 8x2 = 40 + -40 + 8x + -8x

Combine like terms: 40 + -40 = 0
-40 + 32x + 8x2 = 0 + 8x + -8x
-40 + 32x + 8x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
-40 + 32x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-5 + 4x + x2) = 0

Factor a trinomial.
8((-5 + -1x)(1 + -1x)) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

Subproblem 2
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
Solution
x = {-5, 1}

See similar equations:

| 2.50(2.0-x)=1.25+x | | 12+2(4g-3)=40 | | -60=2(8m-6) | | F(3.5)=4x-7 | | 6w*w=600 | | 3(2x+1)+10=x+18 | | -4.9t^2+2.4t=h | | 5x=7+3(x+2) | | 3b+c=7 | | 10(-6y+10)=6y | | -3x+6x=4(x+3)-(x+12) | | 8=5n-n | | -16x-14n= | | A+3c=6 | | 2m+18=3(7-5) | | 2e-5=e-2 | | 9x+10=12x+4 | | 2/3h=9 | | 1900+150x=1500+275x | | 2x=-11+-1y | | 0.00255= | | 2/5x-y=13 | | 4x+3-6x+5+8x-7= | | 4=p-4-3p | | -25+8x-5x=59 | | 0=4x^2-55x+177 | | (x+2)-x=9 | | 3/5(5z+10)=1/4(4z+8) | | 4x-2x+3=6x-17+11 | | A+c=10 | | 2x+4y=3y-11 | | -7=x-6+3 |

Equations solver categories