5(6-x)=-2x(3x-15)+x

Simple and best practice solution for 5(6-x)=-2x(3x-15)+x 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 5(6-x)=-2x(3x-15)+x equation: 


Simplifying
5(6 + -1x) = -2x(3x + -15) + x
(6 * 5 + -1x * 5) = -2x(3x + -15) + x
(30 + -5x) = -2x(3x + -15) + x

Reorder the terms:
30 + -5x = -2x(-15 + 3x) + x
30 + -5x = (-15 * -2x + 3x * -2x) + x
30 + -5x = (30x + -6x2) + x

Reorder the terms:
30 + -5x = 30x + x + -6x2

Combine like terms: 30x + x = 31x
30 + -5x = 31x + -6x2

Solving
30 + -5x = 31x + -6x2

Solving for variable 'x'.

Combine like terms: -5x + -31x = -36x
30 + -36x + 6x2 = 31x + -6x2 + -31x + 6x2

Reorder the terms:
30 + -36x + 6x2 = 31x + -31x + -6x2 + 6x2

Combine like terms: 31x + -31x = 0
30 + -36x + 6x2 = 0 + -6x2 + 6x2
30 + -36x + 6x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
30 + -36x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(5 + -6x + x2) = 0

Factor a trinomial.
6((1 + -1x)(5 + -1x)) = 0

Ignore the factor 6.

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 '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {1, 5}

See similar equations:

| 2-4x=30+3x | | (5r+5)*2=10*(2r-8) | | -2+2+4b=0 | | -2=x^2+12x | | 2x^2+-3x+-6=0 | | (4y+7)(3y+6v-5)=0 | | C=1/2f*n | | 7y^2+6v=-2 | | 7(2x+4)=5(2x+6) | | -X+16=8 | | 5h+4=3h+10 | | 5-5(3x-2)+3x= | | 23x=8x-25 | | x-6x=35 | | 4x-12=-68 | | 9x-5/7=5 | | 80=7x-18 | | 42=9+3*x | | 7.06-5.71= | | 7x/5x= | | (-2m^2+8n^2-4n)-[(8m^2-4m+2n)+(-8m^2)+4n^2]= | | 3x-5/4=3 | | 2dx+2dx= | | (5/6)/8=0 | | 1/3e=12 | | 3x-6=2+3(x-1) | | 2cx^2+2cx^2= | | (2x-8)=30 | | (2x-3)=34 | | (x-y)dx+sdy=0 | | 6x^2+45x+25=0 | | (2x+18)=60 |

Equations solver categories