h(9h-4)(h+2)=0

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Solution for h(9h-4)(h+2)=0 equation: 


Simplifying
h(9h + -4)(h + 2) = 0

Reorder the terms:
h(-4 + 9h)(h + 2) = 0

Reorder the terms:
h(-4 + 9h)(2 + h) = 0

Multiply (-4 + 9h) * (2 + h)
h(-4(2 + h) + 9h * (2 + h)) = 0
h((2 * -4 + h * -4) + 9h * (2 + h)) = 0
h((-8 + -4h) + 9h * (2 + h)) = 0
h(-8 + -4h + (2 * 9h + h * 9h)) = 0
h(-8 + -4h + (18h + 9h2)) = 0

Combine like terms: -4h + 18h = 14h
h(-8 + 14h + 9h2) = 0
(-8 * h + 14h * h + 9h2 * h) = 0
(-8h + 14h2 + 9h3) = 0

Solving
-8h + 14h2 + 9h3 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), 'h'.
h(-8 + 14h + 9h2) = 0

Factor a trinomial.
h((-2 + -1h)(4 + -9h)) = 0


Subproblem 1
Set the factor 'h' equal to zero and attempt to solve:

Simplifying
h = 0

Solving
h = 0

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

Simplifying
h = 0

Subproblem 2
Set the factor '(-2 + -1h)' equal to zero and attempt to solve:

Simplifying
-2 + -1h = 0

Solving
-2 + -1h = 0

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

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

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

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

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

Simplifying
h = -2

Subproblem 3
Set the factor '(4 + -9h)' equal to zero and attempt to solve:

Simplifying
4 + -9h = 0

Solving
4 + -9h = 0

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

Add '-4' to each side of the equation.
4 + -4 + -9h = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -9h = 0 + -4
-9h = 0 + -4

Combine like terms: 0 + -4 = -4
-9h = -4

Divide each side by '-9'.
h = 0.4444444444

Simplifying
h = 0.4444444444
Solution
h = {0, -2, 0.4444444444}

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