5(3h-22)(h+11)=0

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Solution for 5(3h-22)(h+11)=0 equation: 


Simplifying
5(3h + -22)(h + 11) = 0

Reorder the terms:
5(-22 + 3h)(h + 11) = 0

Reorder the terms:
5(-22 + 3h)(11 + h) = 0

Multiply (-22 + 3h) * (11 + h)
5(-22(11 + h) + 3h * (11 + h)) = 0
5((11 * -22 + h * -22) + 3h * (11 + h)) = 0
5((-242 + -22h) + 3h * (11 + h)) = 0
5(-242 + -22h + (11 * 3h + h * 3h)) = 0
5(-242 + -22h + (33h + 3h2)) = 0

Combine like terms: -22h + 33h = 11h
5(-242 + 11h + 3h2) = 0
(-242 * 5 + 11h * 5 + 3h2 * 5) = 0
(-1210 + 55h + 15h2) = 0

Solving
-1210 + 55h + 15h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-242 + 11h + 3h2) = 0

Factor a trinomial.
5((-11 + -1h)(22 + -3h)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-11 + -1h)' equal to zero and attempt to solve:

Simplifying
-11 + -1h = 0

Solving
-11 + -1h = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1h = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1h = 0 + 11
-1h = 0 + 11

Combine like terms: 0 + 11 = 11
-1h = 11

Divide each side by '-1'.
h = -11

Simplifying
h = -11

Subproblem 2
Set the factor '(22 + -3h)' equal to zero and attempt to solve:

Simplifying
22 + -3h = 0

Solving
22 + -3h = 0

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

Add '-22' to each side of the equation.
22 + -22 + -3h = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -3h = 0 + -22
-3h = 0 + -22

Combine like terms: 0 + -22 = -22
-3h = -22

Divide each side by '-3'.
h = 7.333333333

Simplifying
h = 7.333333333
Solution
h = {-11, 7.333333333}

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