h^2-7h-16=2

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Solution for h^2-7h-16=2 equation:


Simplifying
h2 + -7h + -16 = 2

Reorder the terms:
-16 + -7h + h2 = 2

Solving
-16 + -7h + h2 = 2

Solving for variable 'h'.

Reorder the terms:
-16 + -2 + -7h + h2 = 2 + -2

Combine like terms: -16 + -2 = -18
-18 + -7h + h2 = 2 + -2

Combine like terms: 2 + -2 = 0
-18 + -7h + h2 = 0

Factor a trinomial.
(-2 + -1h)(9 + -1h) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(9 + -1h)' equal to zero and attempt to solve: Simplifying 9 + -1h = 0 Solving 9 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1h = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1h = 0 + -9 -1h = 0 + -9 Combine like terms: 0 + -9 = -9 -1h = -9 Divide each side by '-1'. h = 9 Simplifying h = 9

Solution

h = {-2, 9}

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