-3x(x-1)=x-5

Simple and best practice solution for -3x(x-1)=x-5 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 -3x(x-1)=x-5 equation:


Simplifying
-3x(x + -1) = x + -5

Reorder the terms:
-3x(-1 + x) = x + -5
(-1 * -3x + x * -3x) = x + -5
(3x + -3x2) = x + -5

Reorder the terms:
3x + -3x2 = -5 + x

Solving
3x + -3x2 = -5 + x

Solving for variable 'x'.

Reorder the terms:
5 + 3x + -1x + -3x2 = -5 + x + 5 + -1x

Combine like terms: 3x + -1x = 2x
5 + 2x + -3x2 = -5 + x + 5 + -1x

Reorder the terms:
5 + 2x + -3x2 = -5 + 5 + x + -1x

Combine like terms: -5 + 5 = 0
5 + 2x + -3x2 = 0 + x + -1x
5 + 2x + -3x2 = x + -1x

Combine like terms: x + -1x = 0
5 + 2x + -3x2 = 0

Factor a trinomial.
(5 + -3x)(1 + x) = 0

Subproblem 1

Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 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 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667

Subproblem 2

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Solution

x = {1.666666667, -1}

See similar equations:

| x+3.6=19.6 | | 9x3/5=8w | | 5h+4-7=-24 | | 35.3=do-(-2.81) | | -10m+7=-7m+-17 | | a=7/4(h-51) | | 2x+(3x-5)+(4x+2)=65 | | -3n+8=53 | | -2y+3y=y-2-4y | | 6r+3t-35= | | 5+7x=13+8x | | 16xy+8x^2+10y^2-18x+8y=13 | | x-3/7=5/2 | | x-35=35 | | 16x=268 | | 5c+6=32 | | x-9/10=4/5 | | -2u+4(u+6)=16 | | 242/44 | | 2+7v=8v+6 | | 3w+12=-4 | | 17x-23=180 | | 7g+6k+2k+3+2= | | 6+9=n | | q=25pi(h) | | 8=3y+y | | 6v-4v+3=7 | | 12-x=40 | | 31=41-2b | | 2m-1+4=-15+5m | | 13w-4w=63 | | Y=3(x-1)(x+5) |

Equations solver categories