8-5x=x(x-7)

Simple and best practice solution for 8-5x=x(x-7) 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 8-5x=x(x-7) equation: 


Simplifying
8 + -5x = x(x + -7)

Reorder the terms:
8 + -5x = x(-7 + x)
8 + -5x = (-7 * x + x * x)
8 + -5x = (-7x + x2)

Solving
8 + -5x = -7x + x2

Solving for variable 'x'.

Combine like terms: -5x + 7x = 2x
8 + 2x + -1x2 = -7x + x2 + 7x + -1x2

Reorder the terms:
8 + 2x + -1x2 = -7x + 7x + x2 + -1x2

Combine like terms: -7x + 7x = 0
8 + 2x + -1x2 = 0 + x2 + -1x2
8 + 2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8 + 2x + -1x2 = 0

Factor a trinomial.
(4 + -1x)(2 + x) = 0


Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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

Simplifying
2 + x = 0

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

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

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

Simplifying
x = -2
Solution
x = {4, -2}

See similar equations:

| 61-x=172 | | 5k^2+6=0 | | 2-(3x-1)=3-(8x+1) | | a+12=a^2 | | -90=45+x | | -30=45-x | | t^2+5=2t | | 97=-103+x | | f=5(-x)+4 | | 2q+7=0 | | 3n^2+10n=-1 | | x(x+2)+3=0 | | -74=-75+x | | f=5(x+9)+4 | | 13x+25=3x-10 | | 4b+3(b-5)=48 | | xIn=5 | | (2x+3y)*(px+qy)=rx^2+23xy+12y^2 | | 0.02(y-4)+0.04y=0.18y-0.5 | | 8+6y=15y+35 | | 3x+44=5x-3 | | ae+yd=y^2 | | 5x^2+12+4=0 | | 7+10-4t=11 | | (7-2x)*(2x-7)=-9 | | -3(x-1)=7x-5 | | -(x-3)=-20 | | (3y+2)-3(2y+3)=12 | | X^2-24=1 | | 9x+3y=11 | | (a-c)(a+c)-c(3a-c)= | | 6-4(2-5x)=v |

Equations solver categories