(h-7)(h+5)=-20

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Solution for (h-7)(h+5)=-20 equation:


Simplifying
(h + -7)(h + 5) = -20

Reorder the terms:
(-7 + h)(h + 5) = -20

Reorder the terms:
(-7 + h)(5 + h) = -20

Multiply (-7 + h) * (5 + h)
(-7(5 + h) + h(5 + h)) = -20
((5 * -7 + h * -7) + h(5 + h)) = -20
((-35 + -7h) + h(5 + h)) = -20
(-35 + -7h + (5 * h + h * h)) = -20
(-35 + -7h + (5h + h2)) = -20

Combine like terms: -7h + 5h = -2h
(-35 + -2h + h2) = -20

Solving
-35 + -2h + h2 = -20

Solving for variable 'h'.

Reorder the terms:
-35 + 20 + -2h + h2 = -20 + 20

Combine like terms: -35 + 20 = -15
-15 + -2h + h2 = -20 + 20

Combine like terms: -20 + 20 = 0
-15 + -2h + h2 = 0

Factor a trinomial.
(-3 + -1h)(5 + -1h) = 0

Subproblem 1

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

Subproblem 2

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

Solution

h = {-3, 5}

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