5x(x-1)=(2x+8)(x-1)

Simple and best practice solution for 5x(x-1)=(2x+8)(x-1) 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 5x(x-1)=(2x+8)(x-1) equation: 


Simplifying
5x(x + -1) = (2x + 8)(x + -1)

Reorder the terms:
5x(-1 + x) = (2x + 8)(x + -1)
(-1 * 5x + x * 5x) = (2x + 8)(x + -1)
(-5x + 5x2) = (2x + 8)(x + -1)

Reorder the terms:
-5x + 5x2 = (8 + 2x)(x + -1)

Reorder the terms:
-5x + 5x2 = (8 + 2x)(-1 + x)

Multiply (8 + 2x) * (-1 + x)
-5x + 5x2 = (8(-1 + x) + 2x * (-1 + x))
-5x + 5x2 = ((-1 * 8 + x * 8) + 2x * (-1 + x))
-5x + 5x2 = ((-8 + 8x) + 2x * (-1 + x))
-5x + 5x2 = (-8 + 8x + (-1 * 2x + x * 2x))
-5x + 5x2 = (-8 + 8x + (-2x + 2x2))

Combine like terms: 8x + -2x = 6x
-5x + 5x2 = (-8 + 6x + 2x2)

Solving
-5x + 5x2 = -8 + 6x + 2x2

Solving for variable 'x'.

Reorder the terms:
8 + -5x + -6x + 5x2 + -2x2 = -8 + 6x + 2x2 + 8 + -6x + -2x2

Combine like terms: -5x + -6x = -11x
8 + -11x + 5x2 + -2x2 = -8 + 6x + 2x2 + 8 + -6x + -2x2

Combine like terms: 5x2 + -2x2 = 3x2
8 + -11x + 3x2 = -8 + 6x + 2x2 + 8 + -6x + -2x2

Reorder the terms:
8 + -11x + 3x2 = -8 + 8 + 6x + -6x + 2x2 + -2x2

Combine like terms: -8 + 8 = 0
8 + -11x + 3x2 = 0 + 6x + -6x + 2x2 + -2x2
8 + -11x + 3x2 = 6x + -6x + 2x2 + -2x2

Combine like terms: 6x + -6x = 0
8 + -11x + 3x2 = 0 + 2x2 + -2x2
8 + -11x + 3x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
8 + -11x + 3x2 = 0

Factor a trinomial.
(1 + -1x)(8 + -3x) = 0


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 '(8 + -3x)' equal to zero and attempt to solve:

Simplifying
8 + -3x = 0

Solving
8 + -3x = 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 + -3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 0 + -8
-3x = 0 + -8

Combine like terms: 0 + -8 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667
Solution
x = {1, 2.666666667}

See similar equations:

| 9+9m=10m+5 | | 7x+5=3(2-5x) | | 4x*ln(x)+2x=0 | | -43-3n=2-6n | | 4h=-7+5h | | 18x+27-5=-x+3 | | 6+7z=-7z-8 | | T+t+t= | | xsquared=5y | | y=150x+16 | | 5d(4)ford=-2 | | 0.05x=5 | | 10u-u=7u-10-4 | | 7e+8=50 | | 3(x-1)=48 | | 20X-4=5X+10 | | -3w+4w+7=-4w+2 | | 1/2x-11=19 | | .13=.75a | | 7b2/5=6b-7/5 | | -9n+9=-8n | | 2z/7-5=4 | | 14x-28=6x+10 | | 15-5y=-20 | | 4/-44=5m-2m | | V=9+10v | | 7/8X4/3= | | 7x-11=180 | | 18=6(w-6)-8w | | 3y-6y+2=8y+20-5 | | 3.2p+1.48=4.52 | | 14x+23=4x+243 |

Equations solver categories