6x(x-1)=5-19x

Simple and best practice solution for 6x(x-1)=5-19x 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)=5-19x equation: 


Simplifying
6x(x + -1) = 5 + -19x

Reorder the terms:
6x(-1 + x) = 5 + -19x
(-1 * 6x + x * 6x) = 5 + -19x
(-6x + 6x2) = 5 + -19x

Solving
-6x + 6x2 = 5 + -19x

Solving for variable 'x'.

Reorder the terms:
-5 + -6x + 19x + 6x2 = 5 + -19x + -5 + 19x

Combine like terms: -6x + 19x = 13x
-5 + 13x + 6x2 = 5 + -19x + -5 + 19x

Reorder the terms:
-5 + 13x + 6x2 = 5 + -5 + -19x + 19x

Combine like terms: 5 + -5 = 0
-5 + 13x + 6x2 = 0 + -19x + 19x
-5 + 13x + 6x2 = -19x + 19x

Combine like terms: -19x + 19x = 0
-5 + 13x + 6x2 = 0

Factor a trinomial.
(-5 + -2x)(1 + -3x) = 0


Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve:

Simplifying
-5 + -2x = 0

Solving
-5 + -2x = 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 + -2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 0 + 5
-2x = 0 + 5

Combine like terms: 0 + 5 = 5
-2x = 5

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 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 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {-2.5, 0.3333333333}

See similar equations:

| 3x+30=5(x+6)-2x | | c=9f+90 | | 7.68=2*3.14*r | | 9/5+3y=8y-1/5 | | -10p=2p-18 | | 6/13=5/y | | 27*5x=9x+1 | | (4x+3)(x+2)=3 | | 1/x+5=8 | | 7.53=2*3.14*r | | -37+7x=75 | | x^2+(y-11)(y-11)=121 | | 1/x+1/5x=1/15 | | -2x+12y=47 | | 3(x^2+9)=60 | | -2y-3(6y+9)=2-6(7-y) | | x/2-1 | | z+1=-z | | 7+m/8=11 | | 6x+10=10x+2 | | 71-(4x+5)=4(x+3)+x | | 16x=-4x^2-15 | | P-9Q-4/R2S-3 | | 0.4(0.1x+0.3)=-.8 | | -7x-164=111+4x | | -11x^2+3x-7x^2+2=0 | | K-4/2 | | -4x-85=75-12x | | 5k-13+3k=40 | | -25x+5x^2=45 | | 9x-165=-3x+87 | | 10+x/40+x=3/5 |

Equations solver categories