2x(x+2)(x-9)=0

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Solution for 2x(x+2)(x-9)=0 equation:


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

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

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

Multiply (2 + x) * (-9 + x)
2x(2(-9 + x) + x(-9 + x)) = 0
2x((-9 * 2 + x * 2) + x(-9 + x)) = 0
2x((-18 + 2x) + x(-9 + x)) = 0
2x(-18 + 2x + (-9 * x + x * x)) = 0
2x(-18 + 2x + (-9x + x2)) = 0

Combine like terms: 2x + -9x = -7x
2x(-18 + -7x + x2) = 0
(-18 * 2x + -7x * 2x + x2 * 2x) = 0
(-36x + -14x2 + 2x3) = 0

Solving
-36x + -14x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-18 + -7x + x2) = 0

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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, -2, 9}

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