6x(x-1)=2-5x

Simple and best practice solution for 6x(x-1)=2-5x 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 6x(x-1)=2-5x equation: 


Simplifying
6x(x + -1) = 2 + -5x

Reorder the terms:
6x(-1 + x) = 2 + -5x
(-1 * 6x + x * 6x) = 2 + -5x
(-6x + 6x2) = 2 + -5x

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

Solving for variable 'x'.

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

Combine like terms: -6x + 5x = -1x
-2 + -1x + 6x2 = 2 + -5x + -2 + 5x

Reorder the terms:
-2 + -1x + 6x2 = 2 + -2 + -5x + 5x

Combine like terms: 2 + -2 = 0
-2 + -1x + 6x2 = 0 + -5x + 5x
-2 + -1x + 6x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
-2 + -1x + 6x2 = 0

Factor a trinomial.
(-1 + -2x)(2 + -3x) = 0


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

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 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 + -2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 0 + 1
-2x = 0 + 1

Combine like terms: 0 + 1 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {-0.5, 0.6666666667}

See similar equations:

| 0.3x-7=0.1(x+10) | | (5-3i)-(4+4i)= | | -2(t-9)-(t+1)=11 | | 7(z+1)-2(z-1)=2(z-4)+2(z-3) | | 14=-3(24-x)+2(x-2) | | 4x^4=108x | | 7(3x+1)=24x-2 | | 12x-(4x-3)=11 | | 2(5z+2)-7=67 | | 5(2x-1)=40 | | 7x^2=2-3x | | 3(x+5)=24 | | x^2-16x+70=0 | | 3x+26-2x=7+5x-5 | | 6y^2-y+2=0 | | 8x+3x-4x=31+4 | | n-29=53 | | 0.60x=21 | | 9(x+1)-2(x-1)=2(x-3)+4(x-3) | | 2(x+7)=5x+4-3x+10 | | 87.5x=21 | | 6(3x-7)-6=6(x-3)+30 | | U^2-2u+1=0 | | -6y-6=2-5y | | 2k-6=31 | | 3y-6=7y+26 | | 2x-3=14x+3 | | -4(v-6)(-v+4)=0 | | 3.14*196= | | 25x^2-64y^2= | | 5z=-6z-22 | | 5z=6z-22 |

Equations solver categories