h^2+15=-16h

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Solution for h^2+15=-16h equation:


Simplifying
h2 + 15 = -16h

Reorder the terms:
15 + h2 = -16h

Solving
15 + h2 = -16h

Solving for variable 'h'.

Reorder the terms:
15 + 16h + h2 = -16h + 16h

Combine like terms: -16h + 16h = 0
15 + 16h + h2 = 0

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

Subproblem 1

Set the factor '(15 + h)' equal to zero and attempt to solve: Simplifying 15 + h = 0 Solving 15 + h = 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 + h = 0 + -15 Combine like terms: 15 + -15 = 0 0 + h = 0 + -15 h = 0 + -15 Combine like terms: 0 + -15 = -15 h = -15 Simplifying h = -15

Subproblem 2

Set the factor '(1 + h)' equal to zero and attempt to solve: Simplifying 1 + h = 0 Solving 1 + h = 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 + h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + h = 0 + -1 h = 0 + -1 Combine like terms: 0 + -1 = -1 h = -1 Simplifying h = -1

Solution

h = {-15, -1}

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