x(x-2)=5x-12

Simple and best practice solution for x(x-2)=5x-12 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 x(x-2)=5x-12 equation: 


Simplifying
x(x + -2) = 5x + -12

Reorder the terms:
x(-2 + x) = 5x + -12
(-2 * x + x * x) = 5x + -12
(-2x + x2) = 5x + -12

Reorder the terms:
-2x + x2 = -12 + 5x

Solving
-2x + x2 = -12 + 5x

Solving for variable 'x'.

Reorder the terms:
12 + -2x + -5x + x2 = -12 + 5x + 12 + -5x

Combine like terms: -2x + -5x = -7x
12 + -7x + x2 = -12 + 5x + 12 + -5x

Reorder the terms:
12 + -7x + x2 = -12 + 12 + 5x + -5x

Combine like terms: -12 + 12 = 0
12 + -7x + x2 = 0 + 5x + -5x
12 + -7x + x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
12 + -7x + x2 = 0

Factor a trinomial.
(3 + -1x)(4 + -1x) = 0


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

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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 = {3, 4}

See similar equations:

| 200+1(90)= | | 43425-125x+125x+200x=45000-150x | | (4-x)^1/2=8 | | 25x+75=90 | | z^2-14z=46 | | 9f+16f+3-f= | | 18+2y=4+5y | | 2.5=x-3.67 | | y=x^2+4x-15 | | 4v=12 | | 4*0-3*y=17 | | 25x+75= | | x^2+4y^2-5x+16y-8z+21=0 | | r^3-4r^2-r-22=0 | | x/y=1.75 | | 25x-6-18x+2=20x-4-13x+13 | | 2/7×-9=-7 | | 25x+75=180 | | -5+12-17=x | | 5.8=-7+x | | 1000+(.40xQ)=15000+(.15xQ) | | 11(x+2)=8x+16 | | 5X^3+6X^3= | | 3.5y=5.4+3.3y | | 6x^20-84x-288=0 | | 3x+9-8x=15-14x+9x-6 | | 8x-2x+9=12x-6x-2 | | 15+5s=415 | | 4t=6(3-t) | | 2x+35=6x+3 | | 30x-330=30x+330 | | 9x-5=5+10 |

Equations solver categories