12h^2-60h+75=

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Solution for 12h^2-60h+75= equation:


Simplifying
12h2 + -60h + 75 = 0

Reorder the terms:
75 + -60h + 12h2 = 0

Solving
75 + -60h + 12h2 = 0

Solving for variable 'h'.

Factor out the Greatest Common Factor (GCF), '3'.
3(25 + -20h + 4h2) = 0

Factor a trinomial.
3((5 + -2h)(5 + -2h)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(5 + -2h)' equal to zero and attempt to solve: Simplifying 5 + -2h = 0 Solving 5 + -2h = 0 Move all terms containing h to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2h = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2h = 0 + -5 -2h = 0 + -5 Combine like terms: 0 + -5 = -5 -2h = -5 Divide each side by '-2'. h = 2.5 Simplifying h = 2.5

Subproblem 2

Set the factor '(5 + -2h)' equal to zero and attempt to solve: Simplifying 5 + -2h = 0 Solving 5 + -2h = 0 Move all terms containing h to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2h = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2h = 0 + -5 -2h = 0 + -5 Combine like terms: 0 + -5 = -5 -2h = -5 Divide each side by '-2'. h = 2.5 Simplifying h = 2.5

Solution

h = {2.5, 2.5}

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