(x^2-18x)(-3x-54)=0

Simple and best practice solution for (x^2-18x)(-3x-54)=0 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^2-18x)(-3x-54)=0 equation: 


Simplifying
(x2 + -18x)(-3x + -54) = 0

Reorder the terms:
(-18x + x2)(-3x + -54) = 0

Reorder the terms:
(-18x + x2)(-54 + -3x) = 0

Multiply (-18x + x2) * (-54 + -3x)
(-18x * (-54 + -3x) + x2(-54 + -3x)) = 0
((-54 * -18x + -3x * -18x) + x2(-54 + -3x)) = 0
((972x + 54x2) + x2(-54 + -3x)) = 0
(972x + 54x2 + (-54 * x2 + -3x * x2)) = 0
(972x + 54x2 + (-54x2 + -3x3)) = 0

Combine like terms: 54x2 + -54x2 = 0
(972x + 0 + -3x3) = 0
(972x + -3x3) = 0

Solving
972x + -3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(324 + -1x2) = 0

Factor a difference between two squares.
3x((18 + x)(18 + -1x)) = 0

Ignore the factor 3.

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 '(18 + x)' equal to zero and attempt to solve:

Simplifying
18 + x = 0

Solving
18 + x = 0

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

Add '-18' to each side of the equation.
18 + -18 + x = 0 + -18

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

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

Simplifying
x = -18

Subproblem 3
Set the factor '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18
Solution
x = {0, -18, 18}

See similar equations:

| 3m-7=-5 | | 5p-14=3p | | 5x+154=14x-8 | | 7(2x-1)-6x=3-2(4-8x) | | 1.5a+4=-3.5 | | 4(x+2)=-24 | | 1.5+4=-3.5 | | 3x-5=-5 | | x^2+18=6x | | 2x-18=-24 | | 2x-18=24 | | 12x+2=4x-20-2 | | a+1=2 | | 4x-16+-3x=-5(-2x+8) | | -1.25+0.15x=-1.25 | | r+3=8 | | -.004x^2+x+2.5=y | | 2+m=-1 | | 6(x+3y)=36 | | -2.1g-1=-1 | | 57-2x=7x+17 | | 21=9b-6b | | 3+3b=0 | | x^2-15-54=0 | | -17-8x=10x+19 | | 11z-5-=9z+7 | | x^2+50x-61875=0 | | 7+2y=3 | | y=-.004x^2+x+2.5 | | H+19=2 | | 5x+15=-20 | | 6x+5y=16 |

Equations solver categories