h^2-h-2=0

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Solution for h^2-h-2=0 equation:


Simplifying
h2 + -1h + -2 = 0

Reorder the terms:
-2 + -1h + h2 = 0

Solving
-2 + -1h + h2 = 0

Solving for variable 'h'.

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

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 '(2 + -1h)' equal to zero and attempt to solve: Simplifying 2 + -1h = 0 Solving 2 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1h = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1h = 0 + -2 -1h = 0 + -2 Combine like terms: 0 + -2 = -2 -1h = -2 Divide each side by '-1'. h = 2 Simplifying h = 2

Solution

h = {-1, 2}

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