2h^2+42h-1080=0

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Solution for 2h^2+42h-1080=0 equation:


Simplifying
2h2 + 42h + -1080 = 0

Reorder the terms:
-1080 + 42h + 2h2 = 0

Solving
-1080 + 42h + 2h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-540 + 21h + h2) = 0

Factor a trinomial.
2((-36 + -1h)(15 + -1h)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-36 + -1h)' equal to zero and attempt to solve: Simplifying -36 + -1h = 0 Solving -36 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -1h = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -1h = 0 + 36 -1h = 0 + 36 Combine like terms: 0 + 36 = 36 -1h = 36 Divide each side by '-1'. h = -36 Simplifying h = -36

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 = {-36, 15}

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