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

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


Simplifying
(3x + -3)(x) = (2x)(x + 6)

Reorder the terms:
(-3 + 3x)(x) = (2x)(x + 6)

Reorder the terms for easier multiplication:
x(-3 + 3x) = (2x)(x + 6)
(-3 * x + 3x * x) = (2x)(x + 6)
(-3x + 3x2) = (2x)(x + 6)

Remove parenthesis around (2x)
-3x + 3x2 = 2x(x + 6)

Reorder the terms:
-3x + 3x2 = 2x(6 + x)
-3x + 3x2 = (6 * 2x + x * 2x)
-3x + 3x2 = (12x + 2x2)

Solving
-3x + 3x2 = 12x + 2x2

Solving for variable 'x'.

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

Combine like terms: -3x + -12x = -15x
-15x + 3x2 + -2x2 = 12x + 2x2 + -12x + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
-15x + 1x2 = 12x + 2x2 + -12x + -2x2

Reorder the terms:
-15x + 1x2 = 12x + -12x + 2x2 + -2x2

Combine like terms: 12x + -12x = 0
-15x + 1x2 = 0 + 2x2 + -2x2
-15x + 1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-15x + 1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-15 + x) = 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 '(-15 + x)' equal to zero and attempt to solve: Simplifying -15 + x = 0 Solving -15 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + x = 0 + 15 x = 0 + 15 Combine like terms: 0 + 15 = 15 x = 15 Simplifying x = 15

Solution

x = {0, 15}

See similar equations:

| 9m-19=3m+l | | 230=2/3x×x | | X^2+10x+2y+28=0 | | (x+1)(5+x+1)=(x)(8+x) | | 15v^3-20v^2+6v-8=0 | | 2x+9+4x=3(2x+3) | | 600=-s^2+75s-750 | | 180=7x+16+3x+48 | | 5-18=(-14) | | (7/2)/(1/2)=6/h | | 5(x+1)-7=3x+2(-2+x) | | 13x+8y=2 | | 24=4(y+4)-6y | | -9v^2+4v=0 | | 8j^2-4j-4=0 | | 6x=7+15 | | 7e^2x=25 | | (2x-1)(x)=(x+8)(2x-4) | | 9x+8y=126 | | 8z^2-6=0 | | tan(2x)-2sinx=0 | | 5tanx+2=0 | | 3(7x-2)=3x-2 | | y(n)+4y(n-1)+3y(n-2)=x(n-1) | | -7p^2+p+2=0 | | 3x+5y=103 | | X^3-19x^2-7x+8=0 | | W^2-9w+9=0 | | x+(x+2)+(x+4)=49 | | 1/4-(-11/2) | | 9f^2+6f+1=0 | | (5x-4)(5x+8)= |

Equations solver categories