(2x-9)*(x+21)*x=

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Solution for (2x-9)*(x+21)*x= equation:


Simplifying
(2x + -9)(x + 21) * x = 0

Reorder the terms:
(-9 + 2x)(x + 21) * x = 0

Reorder the terms:
(-9 + 2x)(21 + x) * x = 0

Reorder the terms for easier multiplication:
x(-9 + 2x)(21 + x) = 0

Multiply (-9 + 2x) * (21 + x)
x(-9(21 + x) + 2x * (21 + x)) = 0
x((21 * -9 + x * -9) + 2x * (21 + x)) = 0
x((-189 + -9x) + 2x * (21 + x)) = 0
x(-189 + -9x + (21 * 2x + x * 2x)) = 0
x(-189 + -9x + (42x + 2x2)) = 0

Combine like terms: -9x + 42x = 33x
x(-189 + 33x + 2x2) = 0
(-189 * x + 33x * x + 2x2 * x) = 0
(-189x + 33x2 + 2x3) = 0

Solving
-189x + 33x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-189 + 33x + 2x2) = 0

Factor a trinomial.
x((-21 + -1x)(9 + -2x)) = 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 '(-21 + -1x)' equal to zero and attempt to solve:

Simplifying
-21 + -1x = 0

Solving
-21 + -1x = 0

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

Add '21' to each side of the equation.
-21 + 21 + -1x = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -1x = 0 + 21
-1x = 0 + 21

Combine like terms: 0 + 21 = 21
-1x = 21

Divide each side by '-1'.
x = -21

Simplifying
x = -21

Subproblem 3
Set the factor '(9 + -2x)' equal to zero and attempt to solve:

Simplifying
9 + -2x = 0

Solving
9 + -2x = 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 + -2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 0 + -9
-2x = 0 + -9

Combine like terms: 0 + -9 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5
Solution
x = {0, -21, 4.5}

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