x(x-3)=3x(x-4)

Simple and best practice solution for x(x-3)=3x(x-4) 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-3)=3x(x-4) equation: 


Simplifying
x(x + -3) = 3x(x + -4)

Reorder the terms:
x(-3 + x) = 3x(x + -4)
(-3 * x + x * x) = 3x(x + -4)
(-3x + x2) = 3x(x + -4)

Reorder the terms:
-3x + x2 = 3x(-4 + x)
-3x + x2 = (-4 * 3x + x * 3x)
-3x + x2 = (-12x + 3x2)

Solving
-3x + x2 = -12x + 3x2

Solving for variable 'x'.

Reorder the terms:
-3x + 12x + x2 + -3x2 = -12x + 3x2 + 12x + -3x2

Combine like terms: -3x + 12x = 9x
9x + x2 + -3x2 = -12x + 3x2 + 12x + -3x2

Combine like terms: x2 + -3x2 = -2x2
9x + -2x2 = -12x + 3x2 + 12x + -3x2

Reorder the terms:
9x + -2x2 = -12x + 12x + 3x2 + -3x2

Combine like terms: -12x + 12x = 0
9x + -2x2 = 0 + 3x2 + -3x2
9x + -2x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
9x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(9 + -2x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(9 + -2x)' equal to zero and attempt to solve:

Simplifying
9 + -2x = 0

Solving
9 + -2x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 0 + -9
-2x = 0 + -9

Combine like terms: 0 + -9 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5
Solution
x = {0, 4.5}

See similar equations:

| 5n-9=11 | | 3.9*q=35.88 | | 4y=-2x+5 | | 569.00/3= | | 6x-7+4x=8-5x-15 | | 9=(2x+4) | | d/5=-6 | | 3x^2-1.8x+0.03=0 | | 108=8x | | 7x+5-3x=-7 | | s^2-s=21+3s | | (6x+19)=x | | g(x)=-4^3+9x | | 20=8x+4 | | g(-4)=x^3+9x | | -0.4k=40 | | 36x^2-324x-679=0 | | g(-4)=-4^3+9x | | 15x+2=7x-22 | | 8x+7=71 | | 5+6(9z+8)=7(2z+4)+6 | | 495=6-x | | 10x-10=40 | | 18y^3+3y^2=6y | | 5x-3=x-7 | | 9x+1=6x+10 | | 6(2x-4)-3(x+5)= | | 13x+5=8x-20 | | 42-67= | | 22=3f-50 | | 2x^3=6x^2+36x | | x-5=x-6 |

Equations solver categories