45h=20h^3

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Solution for 45h=20h^3 equation:


Simplifying
45h = 20h3

Solving
45h = 20h3

Solving for variable 'h'.

Combine like terms: 20h3 + -20h3 = 0
45h + -20h3 = 0

Factor out the Greatest Common Factor (GCF), '5h'.
5h(9 + -4h2) = 0

Factor a difference between two squares.
5h((3 + 2h)(3 + -2h)) = 0

Ignore the factor 5.

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 '(3 + 2h)' equal to zero and attempt to solve: Simplifying 3 + 2h = 0 Solving 3 + 2h = 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 + 2h = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2h = 0 + -3 2h = 0 + -3 Combine like terms: 0 + -3 = -3 2h = -3 Divide each side by '2'. h = -1.5 Simplifying h = -1.5

Subproblem 3

Set the factor '(3 + -2h)' equal to zero and attempt to solve: Simplifying 3 + -2h = 0 Solving 3 + -2h = 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 + -2h = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2h = 0 + -3 -2h = 0 + -3 Combine like terms: 0 + -3 = -3 -2h = -3 Divide each side by '-2'. h = 1.5 Simplifying h = 1.5

Solution

h = {0, -1.5, 1.5}

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