(2h+5)*h=52

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Solution for (2h+5)*h=52 equation:


Simplifying
(2h + 5) * h = 52

Reorder the terms:
(5 + 2h) * h = 52

Reorder the terms for easier multiplication:
h(5 + 2h) = 52
(5 * h + 2h * h) = 52
(5h + 2h2) = 52

Solving
5h + 2h2 = 52

Solving for variable 'h'.

Reorder the terms:
-52 + 5h + 2h2 = 52 + -52

Combine like terms: 52 + -52 = 0
-52 + 5h + 2h2 = 0

Factor a trinomial.
(-13 + -2h)(4 + -1h) = 0

Subproblem 1

Set the factor '(-13 + -2h)' equal to zero and attempt to solve: Simplifying -13 + -2h = 0 Solving -13 + -2h = 0 Move all terms containing h to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -2h = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -2h = 0 + 13 -2h = 0 + 13 Combine like terms: 0 + 13 = 13 -2h = 13 Divide each side by '-2'. h = -6.5 Simplifying h = -6.5

Subproblem 2

Set the factor '(4 + -1h)' equal to zero and attempt to solve: Simplifying 4 + -1h = 0 Solving 4 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1h = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1h = 0 + -4 -1h = 0 + -4 Combine like terms: 0 + -4 = -4 -1h = -4 Divide each side by '-1'. h = 4 Simplifying h = 4

Solution

h = {-6.5, 4}

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