h^2-h=6

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Solution for h^2-h=6 equation:


Simplifying
h2 + -1h = 6

Reorder the terms:
-1h + h2 = 6

Solving
-1h + h2 = 6

Solving for variable 'h'.

Reorder the terms:
-6 + -1h + h2 = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + -1h + h2 = 0

Factor a trinomial.
(-2 + -1h)(3 + -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 '(3 + -1h)' equal to zero and attempt to solve: Simplifying 3 + -1h = 0 Solving 3 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1h = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1h = 0 + -3 -1h = 0 + -3 Combine like terms: 0 + -3 = -3 -1h = -3 Divide each side by '-1'. h = 3 Simplifying h = 3

Solution

h = {-2, 3}

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