(h+5)(h-2)=0

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Solution for (h+5)(h-2)=0 equation:


Simplifying
(h + 5)(h + -2) = 0

Reorder the terms:
(5 + h)(h + -2) = 0

Reorder the terms:
(5 + h)(-2 + h) = 0

Multiply (5 + h) * (-2 + h)
(5(-2 + h) + h(-2 + h)) = 0
((-2 * 5 + h * 5) + h(-2 + h)) = 0
((-10 + 5h) + h(-2 + h)) = 0
(-10 + 5h + (-2 * h + h * h)) = 0
(-10 + 5h + (-2h + h2)) = 0

Combine like terms: 5h + -2h = 3h
(-10 + 3h + h2) = 0

Solving
-10 + 3h + h2 = 0

Solving for variable 'h'.

Factor a trinomial.
(-5 + -1h)(2 + -1h) = 0

Subproblem 1

Set the factor '(-5 + -1h)' equal to zero and attempt to solve: Simplifying -5 + -1h = 0 Solving -5 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1h = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1h = 0 + 5 -1h = 0 + 5 Combine like terms: 0 + 5 = 5 -1h = 5 Divide each side by '-1'. h = -5 Simplifying h = -5

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 = {-5, 2}

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