(12+h)(h-3)=324

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Solution for (12+h)(h-3)=324 equation: 


Simplifying
(12 + h)(h + -3) = 324

Reorder the terms:
(12 + h)(-3 + h) = 324

Multiply (12 + h) * (-3 + h)
(12(-3 + h) + h(-3 + h)) = 324
((-3 * 12 + h * 12) + h(-3 + h)) = 324
((-36 + 12h) + h(-3 + h)) = 324
(-36 + 12h + (-3 * h + h * h)) = 324
(-36 + 12h + (-3h + h2)) = 324

Combine like terms: 12h + -3h = 9h
(-36 + 9h + h2) = 324

Solving
-36 + 9h + h2 = 324

Solving for variable 'h'.

Reorder the terms:
-36 + -324 + 9h + h2 = 324 + -324

Combine like terms: -36 + -324 = -360
-360 + 9h + h2 = 324 + -324

Combine like terms: 324 + -324 = 0
-360 + 9h + h2 = 0

Factor a trinomial.
(-24 + -1h)(15 + -1h) = 0


Subproblem 1
Set the factor '(-24 + -1h)' equal to zero and attempt to solve:

Simplifying
-24 + -1h = 0

Solving
-24 + -1h = 0

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

Add '24' to each side of the equation.
-24 + 24 + -1h = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -1h = 0 + 24
-1h = 0 + 24

Combine like terms: 0 + 24 = 24
-1h = 24

Divide each side by '-1'.
h = -24

Simplifying
h = -24

Subproblem 2
Set the factor '(15 + -1h)' equal to zero and attempt to solve:

Simplifying
15 + -1h = 0

Solving
15 + -1h = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1h = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1h = 0 + -15
-1h = 0 + -15

Combine like terms: 0 + -15 = -15
-1h = -15

Divide each side by '-1'.
h = 15

Simplifying
h = 15
Solution
h = {-24, 15}

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