3(x+1)(x+4)=(3x+6)(x-3)

Simple and best practice solution for 3(x+1)(x+4)=(3x+6)(x-3) 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 3(x+1)(x+4)=(3x+6)(x-3) equation: 


Simplifying
3(x + 1)(x + 4) = (3x + 6)(x + -3)

Reorder the terms:
3(1 + x)(x + 4) = (3x + 6)(x + -3)

Reorder the terms:
3(1 + x)(4 + x) = (3x + 6)(x + -3)

Multiply (1 + x) * (4 + x)
3(1(4 + x) + x(4 + x)) = (3x + 6)(x + -3)
3((4 * 1 + x * 1) + x(4 + x)) = (3x + 6)(x + -3)
3((4 + 1x) + x(4 + x)) = (3x + 6)(x + -3)
3(4 + 1x + (4 * x + x * x)) = (3x + 6)(x + -3)
3(4 + 1x + (4x + x2)) = (3x + 6)(x + -3)

Combine like terms: 1x + 4x = 5x
3(4 + 5x + x2) = (3x + 6)(x + -3)
(4 * 3 + 5x * 3 + x2 * 3) = (3x + 6)(x + -3)
(12 + 15x + 3x2) = (3x + 6)(x + -3)

Reorder the terms:
12 + 15x + 3x2 = (6 + 3x)(x + -3)

Reorder the terms:
12 + 15x + 3x2 = (6 + 3x)(-3 + x)

Multiply (6 + 3x) * (-3 + x)
12 + 15x + 3x2 = (6(-3 + x) + 3x * (-3 + x))
12 + 15x + 3x2 = ((-3 * 6 + x * 6) + 3x * (-3 + x))
12 + 15x + 3x2 = ((-18 + 6x) + 3x * (-3 + x))
12 + 15x + 3x2 = (-18 + 6x + (-3 * 3x + x * 3x))
12 + 15x + 3x2 = (-18 + 6x + (-9x + 3x2))

Combine like terms: 6x + -9x = -3x
12 + 15x + 3x2 = (-18 + -3x + 3x2)

Add '-3x2' to each side of the equation.
12 + 15x + 3x2 + -3x2 = -18 + -3x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
12 + 15x + 0 = -18 + -3x + 3x2 + -3x2
12 + 15x = -18 + -3x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
12 + 15x = -18 + -3x + 0
12 + 15x = -18 + -3x

Solving
12 + 15x = -18 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
12 + 15x + 3x = -18 + -3x + 3x

Combine like terms: 15x + 3x = 18x
12 + 18x = -18 + -3x + 3x

Combine like terms: -3x + 3x = 0
12 + 18x = -18 + 0
12 + 18x = -18

Add '-12' to each side of the equation.
12 + -12 + 18x = -18 + -12

Combine like terms: 12 + -12 = 0
0 + 18x = -18 + -12
18x = -18 + -12

Combine like terms: -18 + -12 = -30
18x = -30

Divide each side by '18'.
x = -1.666666667

Simplifying
x = -1.666666667

See similar equations:

| 20x+4y=180 | | 8x=130x-5x | | .7x+11.8=x-6.02 | | 5-((x-7/8)=x/3 | | 3x+1=8x+11 | | y=-4+3sen(2x) | | 4x+5.6=2(3x-22) | | -.5x+2.33=-0.7x+3.93 | | 3x+2-6x-2= | | 1.4+0.4x=0.2 | | x=500-.04x | | 5x-15=-36 | | 5-(x-7)/8)=x/3 | | 6x-3(x-14)=-150 | | 7s-32=80 | | 81-17=8x | | y=47.73+x | | 500x-0.15=300x+0.83 | | y=47.73 | | 81-7=8x | | t*5-6=11 | | 3x^2-10=-2 | | 2x+5=2x+7-2 | | a*4+4=9 | | (X-5)(x-10)=6 | | -3(1-6b)+8=-121 | | f(x)=12x+11 | | 3(4x-4)+3=13 | | 8x=5x(26-x) | | 35+16x=143 | | 500-0.15=300x+0.83 | | 5(3G+3)=180 |

Equations solver categories