(h+8)(7)(h)=231

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Solution for (h+8)(7)(h)=231 equation:


Simplifying
(h + 8)(7)(h) = 231

Reorder the terms:
(8 + h)(7)(h) = 231

Reorder the terms for easier multiplication:
7h(8 + h) = 231
(8 * 7h + h * 7h) = 231
(56h + 7h2) = 231

Solving
56h + 7h2 = 231

Solving for variable 'h'.

Reorder the terms:
-231 + 56h + 7h2 = 231 + -231

Combine like terms: 231 + -231 = 0
-231 + 56h + 7h2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(-33 + 8h + h2) = 0

Factor a trinomial.
7((-11 + -1h)(3 + -1h)) = 0

Ignore the factor 7.

Subproblem 1

Set the factor '(-11 + -1h)' equal to zero and attempt to solve: Simplifying -11 + -1h = 0 Solving -11 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1h = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1h = 0 + 11 -1h = 0 + 11 Combine like terms: 0 + 11 = 11 -1h = 11 Divide each side by '-1'. h = -11 Simplifying h = -11

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 = {-11, 3}

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