h(7h-8)(h+9)=0

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Solution for h(7h-8)(h+9)=0 equation: 


Simplifying
h(7h + -8)(h + 9) = 0

Reorder the terms:
h(-8 + 7h)(h + 9) = 0

Reorder the terms:
h(-8 + 7h)(9 + h) = 0

Multiply (-8 + 7h) * (9 + h)
h(-8(9 + h) + 7h * (9 + h)) = 0
h((9 * -8 + h * -8) + 7h * (9 + h)) = 0
h((-72 + -8h) + 7h * (9 + h)) = 0
h(-72 + -8h + (9 * 7h + h * 7h)) = 0
h(-72 + -8h + (63h + 7h2)) = 0

Combine like terms: -8h + 63h = 55h
h(-72 + 55h + 7h2) = 0
(-72 * h + 55h * h + 7h2 * h) = 0
(-72h + 55h2 + 7h3) = 0

Solving
-72h + 55h2 + 7h3 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), 'h'.
h(-72 + 55h + 7h2) = 0

Factor a trinomial.
h((-9 + -1h)(8 + -7h)) = 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 '(-9 + -1h)' equal to zero and attempt to solve:

Simplifying
-9 + -1h = 0

Solving
-9 + -1h = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1h = 0 + 9

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

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

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

Simplifying
h = -9

Subproblem 3
Set the factor '(8 + -7h)' equal to zero and attempt to solve:

Simplifying
8 + -7h = 0

Solving
8 + -7h = 0

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

Add '-8' to each side of the equation.
8 + -8 + -7h = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7h = 0 + -8
-7h = 0 + -8

Combine like terms: 0 + -8 = -8
-7h = -8

Divide each side by '-7'.
h = 1.142857143

Simplifying
h = 1.142857143
Solution
h = {0, -9, 1.142857143}

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