5x-12=x(x-4)+8

Simple and best practice solution for 5x-12=x(x-4)+8 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 5x-12=x(x-4)+8 equation: 


Simplifying
5x + -12 = x(x + -4) + 8

Reorder the terms:
-12 + 5x = x(x + -4) + 8

Reorder the terms:
-12 + 5x = x(-4 + x) + 8
-12 + 5x = (-4 * x + x * x) + 8
-12 + 5x = (-4x + x2) + 8

Reorder the terms:
-12 + 5x = 8 + -4x + x2

Solving
-12 + 5x = 8 + -4x + x2

Solving for variable 'x'.

Reorder the terms:
-12 + -8 + 5x + 4x + -1x2 = 8 + -4x + x2 + -8 + 4x + -1x2

Combine like terms: -12 + -8 = -20
-20 + 5x + 4x + -1x2 = 8 + -4x + x2 + -8 + 4x + -1x2

Combine like terms: 5x + 4x = 9x
-20 + 9x + -1x2 = 8 + -4x + x2 + -8 + 4x + -1x2

Reorder the terms:
-20 + 9x + -1x2 = 8 + -8 + -4x + 4x + x2 + -1x2

Combine like terms: 8 + -8 = 0
-20 + 9x + -1x2 = 0 + -4x + 4x + x2 + -1x2
-20 + 9x + -1x2 = -4x + 4x + x2 + -1x2

Combine like terms: -4x + 4x = 0
-20 + 9x + -1x2 = 0 + x2 + -1x2
-20 + 9x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-20 + 9x + -1x2 = 0

Factor a trinomial.
(-5 + x)(4 + -1x) = 0


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

Simplifying
-5 + x = 0

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

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

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

Simplifying
x = 5

Subproblem 2
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
Solution
x = {5, 4}

See similar equations:

| y+10453=12506 | | y+2.5x=5000 | | 3x+5y-3=18 | | 2.5x+y=5000 | | Y+X^2=6X-3 | | 0=(x-11)(x+10) | | whatisx^2+6x=8 | | 3x(3)2=923 | | g+(-2)=0.8 | | y=-89x | | x^2-y^2=2280 | | 2cosx+cosx+1=0 | | 16=20 | | 9y+17=98 | | 4(2+x+1)=27+3(x-5) | | 3/4.4 | | f(0)=4x^2-7x+7 | | 3a+10=1x | | 3x+3+18+90=180 | | ((a-3)/15a)*((5/a-3) | | 5x-13=-5 | | 6+w=-w | | s+8=2s | | 6g+9=33 | | 4m+4=3m | | 18a+15= | | 4c+5= | | -7x+5=-4x-1 | | y(3x-2)=(3x-1) | | 4y-8x=29 | | (5x+8)+12=3 | | 5(2x+6)=38-2(5x-6) |

Equations solver categories