r^2+17rh+60h^2=

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Solution for r^2+17rh+60h^2= equation:


Simplifying
r2 + 17rh + 60h2 = 0

Reorder the terms:
17hr + 60h2 + r2 = 0

Solving
17hr + 60h2 + r2 = 0

Solving for variable 'h'.

Factor a trinomial.
(12h + r)(5h + r) = 0

Subproblem 1

Set the factor '(12h + r)' equal to zero and attempt to solve: Simplifying 12h + r = 0 Solving 12h + r = 0 Move all terms containing h to the left, all other terms to the right. Add '-1r' to each side of the equation. 12h + r + -1r = 0 + -1r Combine like terms: r + -1r = 0 12h + 0 = 0 + -1r 12h = 0 + -1r Remove the zero: 12h = -1r Divide each side by '12'. h = -0.08333333333r Simplifying h = -0.08333333333r

Subproblem 2

Set the factor '(5h + r)' equal to zero and attempt to solve: Simplifying 5h + r = 0 Solving 5h + r = 0 Move all terms containing h to the left, all other terms to the right. Add '-1r' to each side of the equation. 5h + r + -1r = 0 + -1r Combine like terms: r + -1r = 0 5h + 0 = 0 + -1r 5h = 0 + -1r Remove the zero: 5h = -1r Divide each side by '5'. h = -0.2r Simplifying h = -0.2r

Solution

h = {-0.08333333333r, -0.2r}

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