.5(18+4h)h=26

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Solution for .5(18+4h)h=26 equation:


Simplifying
0.5(18 + 4h) * h = 26

Reorder the terms for easier multiplication:
0.5h(18 + 4h) = 26
(18 * 0.5h + 4h * 0.5h) = 26
(9h + 2h2) = 26

Solving
9h + 2h2 = 26

Solving for variable 'h'.

Reorder the terms:
-26 + 9h + 2h2 = 26 + -26

Combine like terms: 26 + -26 = 0
-26 + 9h + 2h2 = 0

Factor a trinomial.
(-13 + -2h)(2 + -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 '(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 = {-6.5, 2}

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