(3h+3)(5h-4)=

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Solution for (3h+3)(5h-4)= equation:


Simplifying
(3h + 3)(5h + -4) = 0

Reorder the terms:
(3 + 3h)(5h + -4) = 0

Reorder the terms:
(3 + 3h)(-4 + 5h) = 0

Multiply (3 + 3h) * (-4 + 5h)
(3(-4 + 5h) + 3h * (-4 + 5h)) = 0
((-4 * 3 + 5h * 3) + 3h * (-4 + 5h)) = 0
((-12 + 15h) + 3h * (-4 + 5h)) = 0
(-12 + 15h + (-4 * 3h + 5h * 3h)) = 0
(-12 + 15h + (-12h + 15h2)) = 0

Combine like terms: 15h + -12h = 3h
(-12 + 3h + 15h2) = 0

Solving
-12 + 3h + 15h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-4 + h + 5h2) = 0

Factor a trinomial.
3((-1 + -1h)(4 + -5h)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-1 + -1h)' equal to zero and attempt to solve: Simplifying -1 + -1h = 0 Solving -1 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1h = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1h = 0 + 1 -1h = 0 + 1 Combine like terms: 0 + 1 = 1 -1h = 1 Divide each side by '-1'. h = -1 Simplifying h = -1

Subproblem 2

Set the factor '(4 + -5h)' equal to zero and attempt to solve: Simplifying 4 + -5h = 0 Solving 4 + -5h = 0 Move all terms containing h to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5h = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5h = 0 + -4 -5h = 0 + -4 Combine like terms: 0 + -4 = -4 -5h = -4 Divide each side by '-5'. h = 0.8 Simplifying h = 0.8

Solution

h = {-1, 0.8}

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