(3h-7)(3h-6)=0

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Solution for (3h-7)(3h-6)=0 equation:


Simplifying
(3h + -7)(3h + -6) = 0

Reorder the terms:
(-7 + 3h)(3h + -6) = 0

Reorder the terms:
(-7 + 3h)(-6 + 3h) = 0

Multiply (-7 + 3h) * (-6 + 3h)
(-7(-6 + 3h) + 3h * (-6 + 3h)) = 0
((-6 * -7 + 3h * -7) + 3h * (-6 + 3h)) = 0
((42 + -21h) + 3h * (-6 + 3h)) = 0
(42 + -21h + (-6 * 3h + 3h * 3h)) = 0
(42 + -21h + (-18h + 9h2)) = 0

Combine like terms: -21h + -18h = -39h
(42 + -39h + 9h2) = 0

Solving
42 + -39h + 9h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '3'.
3(14 + -13h + 3h2) = 0

Factor a trinomial.
3((2 + -1h)(7 + -3h)) = 0

Ignore the factor 3.

Subproblem 1
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 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
Solution
h = {2, 2.333333333}

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