66r^2h+57rh+12h=

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Solution for 66r^2h+57rh+12h= equation:


Simplifying
66r2h + 57rh + 12h = 0

Reorder the terms:
12h + 57hr + 66hr2 = 0

Solving
12h + 57hr + 66hr2 = 0

Solving for variable 'h'.

Move all terms containing h to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), '3h'.
3h(4 + 19r + 22r2) = 0

Factor a trinomial.
3h((1 + 2r)(4 + 11r)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'h' equal to zero and attempt to solve: Simplifying h = 0 Solving h = 0 Move all terms containing h to the left, all other terms to the right. Simplifying h = 0

Subproblem 2

Set the factor '(1 + 2r)' equal to zero and attempt to solve: Simplifying 1 + 2r = 0 Solving 1 + 2r = 0 Move all terms containing h to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2r = 0 + -1 2r = 0 + -1 Combine like terms: 0 + -1 = -1 2r = -1 Add '-2r' to each side of the equation. 2r + -2r = -1 + -2r Combine like terms: 2r + -2r = 0 0 = -1 + -2r Simplifying 0 = -1 + -2r The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(4 + 11r)' equal to zero and attempt to solve: Simplifying 4 + 11r = 0 Solving 4 + 11r = 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 + 11r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 11r = 0 + -4 11r = 0 + -4 Combine like terms: 0 + -4 = -4 11r = -4 Add '-11r' to each side of the equation. 11r + -11r = -4 + -11r Combine like terms: 11r + -11r = 0 0 = -4 + -11r Simplifying 0 = -4 + -11r The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

h = {0}

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