49f^3+42f^2+9f=0

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Solution for 49f^3+42f^2+9f=0 equation:


Simplifying
49f3 + 42f2 + 9f = 0

Reorder the terms:
9f + 42f2 + 49f3 = 0

Solving
9f + 42f2 + 49f3 = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), 'f'.
f(9 + 42f + 49f2) = 0

Factor a trinomial.
f((3 + 7f)(3 + 7f)) = 0

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 '(3 + 7f)' equal to zero and attempt to solve: Simplifying 3 + 7f = 0 Solving 3 + 7f = 0 Move all terms containing f to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7f = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7f = 0 + -3 7f = 0 + -3 Combine like terms: 0 + -3 = -3 7f = -3 Divide each side by '7'. f = -0.4285714286 Simplifying f = -0.4285714286

Subproblem 3

Set the factor '(3 + 7f)' equal to zero and attempt to solve: Simplifying 3 + 7f = 0 Solving 3 + 7f = 0 Move all terms containing f to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7f = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7f = 0 + -3 7f = 0 + -3 Combine like terms: 0 + -3 = -3 7f = -3 Divide each side by '7'. f = -0.4285714286 Simplifying f = -0.4285714286

Solution

f = {0, -0.4285714286, -0.4285714286}

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