5h(h-12)(3h-7)=0

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Solution for 5h(h-12)(3h-7)=0 equation: 


Simplifying
5h(h + -12)(3h + -7) = 0

Reorder the terms:
5h(-12 + h)(3h + -7) = 0

Reorder the terms:
5h(-12 + h)(-7 + 3h) = 0

Multiply (-12 + h) * (-7 + 3h)
5h(-12(-7 + 3h) + h(-7 + 3h)) = 0
5h((-7 * -12 + 3h * -12) + h(-7 + 3h)) = 0
5h((84 + -36h) + h(-7 + 3h)) = 0
5h(84 + -36h + (-7 * h + 3h * h)) = 0
5h(84 + -36h + (-7h + 3h2)) = 0

Combine like terms: -36h + -7h = -43h
5h(84 + -43h + 3h2) = 0
(84 * 5h + -43h * 5h + 3h2 * 5h) = 0
(420h + -215h2 + 15h3) = 0

Solving
420h + -215h2 + 15h3 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '5h'.
5h(84 + -43h + 3h2) = 0

Factor a trinomial.
5h((7 + -3h)(12 + -1h)) = 0

Ignore the factor 5.

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 '(7 + -3h)' equal to zero and attempt to solve:

Simplifying
7 + -3h = 0

Solving
7 + -3h = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3h = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3h = 0 + -7
-3h = 0 + -7

Combine like terms: 0 + -7 = -7
-3h = -7

Divide each side by '-3'.
h = 2.333333333

Simplifying
h = 2.333333333

Subproblem 3
Set the factor '(12 + -1h)' equal to zero and attempt to solve:

Simplifying
12 + -1h = 0

Solving
12 + -1h = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1h = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1h = 0 + -12
-1h = 0 + -12

Combine like terms: 0 + -12 = -12
-1h = -12

Divide each side by '-1'.
h = 12

Simplifying
h = 12
Solution
h = {0, 2.333333333, 12}

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