=[x(18-2x)(33-2x)]

Simple and best practice solution for =[x(18-2x)(33-2x)] 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(18-2x)(33-2x)] equation: 


Simplifying
0 = [x(18 + -2x)(33 + -2x)]

Multiply (18 + -2x) * (33 + -2x)
0 = [x(18(33 + -2x) + -2x * (33 + -2x))]
0 = [x((33 * 18 + -2x * 18) + -2x * (33 + -2x))]
0 = [x((594 + -36x) + -2x * (33 + -2x))]
0 = [x(594 + -36x + (33 * -2x + -2x * -2x))]
0 = [x(594 + -36x + (-66x + 4x2))]

Combine like terms: -36x + -66x = -102x
0 = [x(594 + -102x + 4x2)]
0 = [(594 * x + -102x * x + 4x2 * x)]
0 = [(594x + -102x2 + 4x3)]
0 = [594x + -102x2 + 4x3]

Remove brackets around [594x + -102x2 + 4x3]
0 = 594x + -102x2 + 4x3

Solving
0 = 594x + -102x2 + 4x3

Solving for variable 'x'.
Remove the zero:
-594x + 102x2 + -4x3 = 594x + -102x2 + 4x3 + -594x + 102x2 + -4x3

Reorder the terms:
-594x + 102x2 + -4x3 = 594x + -594x + -102x2 + 102x2 + 4x3 + -4x3

Combine like terms: 594x + -594x = 0
-594x + 102x2 + -4x3 = 0 + -102x2 + 102x2 + 4x3 + -4x3
-594x + 102x2 + -4x3 = -102x2 + 102x2 + 4x3 + -4x3

Combine like terms: -102x2 + 102x2 = 0
-594x + 102x2 + -4x3 = 0 + 4x3 + -4x3
-594x + 102x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-594x + 102x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-297 + 51x + -2x2) = 0

Factor a trinomial.
2x((-33 + 2x)(9 + -1x)) = 0

Ignore the factor 2.

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 '(-33 + 2x)' equal to zero and attempt to solve:

Simplifying
-33 + 2x = 0

Solving
-33 + 2x = 0

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

Add '33' to each side of the equation.
-33 + 33 + 2x = 0 + 33

Combine like terms: -33 + 33 = 0
0 + 2x = 0 + 33
2x = 0 + 33

Combine like terms: 0 + 33 = 33
2x = 33

Divide each side by '2'.
x = 16.5

Simplifying
x = 16.5

Subproblem 3
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 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 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {0, 16.5, 9}

See similar equations:

| 0.2(x+40)-0.07(x-50)=19.3 | | 5(y-2)-4y=-11+2 | | 1+5x-40=2-1x+5 | | -7x+10=3 | | -3+9x=7 | | 0.25(x+30)-0.03(x-60)=-3.9 | | 3r+5(1+7r)=81 | | x-109=x-89 | | -9x-89=36-4x | | 2000=305n | | 2-22=4x-7-3x | | -10s-10=-9s | | 5k-5.9=5.2k-6.96 | | 7x+8=4x+38 | | 4x+(-2x)+7=x+3 | | asdf=asdf | | 4k-6.3=5.9k-24.54 | | 14.2=-6.2+4.2d | | 6ax-ay+4a=0 | | 4x-3x+14=13-3 | | (a+5)(a+7)=2 | | 4p-8.3=2.4p-2.22 | | -2x-70=50-10x | | 8x-4=-2x+36 | | 9f=54 | | 13x+7+7x+3=90 | | 100a^2+600a+900=0 | | 13m=26 | | 7x^4+5=y^2 | | -114-11x=30-3x | | 11-5x=5x+21 | | -28c+15-22z=31 |

Equations solver categories