3x(3x-12)=9(x-4)

Simple and best practice solution for 3x(3x-12)=9(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 3x(3x-12)=9(x-4) equation:


Simplifying
3x(3x + -12) = 9(x + -4)

Reorder the terms:
3x(-12 + 3x) = 9(x + -4)
(-12 * 3x + 3x * 3x) = 9(x + -4)
(-36x + 9x2) = 9(x + -4)

Reorder the terms:
-36x + 9x2 = 9(-4 + x)
-36x + 9x2 = (-4 * 9 + x * 9)
-36x + 9x2 = (-36 + 9x)

Solving
-36x + 9x2 = -36 + 9x

Solving for variable 'x'.

Reorder the terms:
36 + -36x + -9x + 9x2 = -36 + 9x + 36 + -9x

Combine like terms: -36x + -9x = -45x
36 + -45x + 9x2 = -36 + 9x + 36 + -9x

Reorder the terms:
36 + -45x + 9x2 = -36 + 36 + 9x + -9x

Combine like terms: -36 + 36 = 0
36 + -45x + 9x2 = 0 + 9x + -9x
36 + -45x + 9x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
36 + -45x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(4 + -5x + x2) = 0

Factor a trinomial.
9((1 + -1x)(4 + -1x)) = 0

Ignore the factor 9.

Subproblem 1

Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

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 = {1, 4}

See similar equations:

| 3x+30+2x-12=180 | | 2x+3x=5x+1/8 | | -9(y+1)=6-8y | | 2.1x+1.3x-4.6=22 | | 20x+18=20x-18 | | .5m+3-5=2 | | 10x+10=10x-10 | | 64s^2-48s+9=0 | | x-2(2x+9)=3-3x | | 2x-4x+1=0 | | 13-x=44 | | 180-x=3x(180-4)+4 | | 5(x+1)=3(x-2) | | x^3-4x^2+49x-196=0 | | X^2+5x-e^3=0 | | -5(4-5p)=7p-38 | | 180-x=2(90-x)+25 | | 2(x+3)=2(x+7) | | -4(6y-9)-y=-2(y-3) | | 3+2n-1=7n+4-4n | | 2u-(8)+3v= | | 2x-4+0.5x+0.2(2x-4+8)=26 | | (2x+7)6=-7x+4 | | 2u-8+3v= | | 8(x+7.4)-8x+12= | | 37x+8=6(6x+1) | | -6+g=11 | | 37+w=5w-35 | | 5x-8x+3=x-6+9 | | 5x-3(2x-1)=8x-1 | | .04(x+10)+.6x=29 | | 3x+7-5(x+1)=5x+8 |

Equations solver categories