3f^2=-6f

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Solution for 3f^2=-6f equation:


Simplifying
3f2 = -6f

Solving
3f2 = -6f

Solving for variable 'f'.

Reorder the terms:
6f + 3f2 = -6f + 6f

Combine like terms: -6f + 6f = 0
6f + 3f2 = 0

Factor out the Greatest Common Factor (GCF), '3f'.
3f(2 + f) = 0

Ignore the factor 3.

Subproblem 1

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

Subproblem 2

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

Solution

f = {0, -2}

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