8x(x-4)-80=5x(x-8)

Simple and best practice solution for 8x(x-4)-80=5x(x-8) 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-4)-80=5x(x-8) equation: 


Simplifying
8x(x + -4) + -80 = 5x(x + -8)

Reorder the terms:
8x(-4 + x) + -80 = 5x(x + -8)
(-4 * 8x + x * 8x) + -80 = 5x(x + -8)
(-32x + 8x2) + -80 = 5x(x + -8)

Reorder the terms:
-80 + -32x + 8x2 = 5x(x + -8)

Reorder the terms:
-80 + -32x + 8x2 = 5x(-8 + x)
-80 + -32x + 8x2 = (-8 * 5x + x * 5x)
-80 + -32x + 8x2 = (-40x + 5x2)

Solving
-80 + -32x + 8x2 = -40x + 5x2

Solving for variable 'x'.

Reorder the terms:
-80 + -32x + 40x + 8x2 + -5x2 = -40x + 5x2 + 40x + -5x2

Combine like terms: -32x + 40x = 8x
-80 + 8x + 8x2 + -5x2 = -40x + 5x2 + 40x + -5x2

Combine like terms: 8x2 + -5x2 = 3x2
-80 + 8x + 3x2 = -40x + 5x2 + 40x + -5x2

Reorder the terms:
-80 + 8x + 3x2 = -40x + 40x + 5x2 + -5x2

Combine like terms: -40x + 40x = 0
-80 + 8x + 3x2 = 0 + 5x2 + -5x2
-80 + 8x + 3x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-80 + 8x + 3x2 = 0

Factor a trinomial.
(-20 + -3x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-20 + -3x)' equal to zero and attempt to solve:

Simplifying
-20 + -3x = 0

Solving
-20 + -3x = 0

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

Add '20' to each side of the equation.
-20 + 20 + -3x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -3x = 0 + 20
-3x = 0 + 20

Combine like terms: 0 + 20 = 20
-3x = 20

Divide each side by '-3'.
x = -6.666666667

Simplifying
x = -6.666666667

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 = {-6.666666667, 4}

See similar equations:

| 7n-7=35 | | (2a+6)(3a-15)=0 | | 2x+40=60findx | | -6.783+(-26)= | | x-27.69-y-35.5= | | 12r-11(-10r-17)=r-2.75 | | x^2+x^2=200 | | 2(8x+4)-4(x+6)=8x+3x | | x-81=9x+127 | | 8x+6x=-14 | | 5x-18=8x-5 | | 9x-5=6x+9 | | x^3-x=0.01 | | (9x+20)=(5x+28) | | (2x)(2y)=0 | | 6(8+5x)=-162 | | 10x-136=56-6x | | 5x+20=7x-10 | | 0.25(12x+24)-9x=-6(x+1) | | 9x^2-4x+25=0 | | 24+4x=9x | | -12.71+(-1.005)-(-5.4)+8.17= | | 16(-11-2x)-15x=.75(-16x-52) | | 9x+5y = 9 | | (8x+20)+(2x+10)=180 | | 10(x+7)=10(x+12) | | x-77=53-9x | | 5(x-4)=3x-18 | | 2+5a=12 | | 5-x=6x | | x^3-5x^2+7x-17=x^3-4x^2-3x+4 | | 3x-136=44-6x |

Equations solver categories