3f^2-13f-10=0

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Solution for 3f^2-13f-10=0 equation:


Simplifying
3f2 + -13f + -10 = 0

Reorder the terms:
-10 + -13f + 3f2 = 0

Solving
-10 + -13f + 3f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(-2 + -3f)(5 + -1f) = 0

Subproblem 1

Set the factor '(-2 + -3f)' equal to zero and attempt to solve: Simplifying -2 + -3f = 0 Solving -2 + -3f = 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 + -3f = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3f = 0 + 2 -3f = 0 + 2 Combine like terms: 0 + 2 = 2 -3f = 2 Divide each side by '-3'. f = -0.6666666667 Simplifying f = -0.6666666667

Subproblem 2

Set the factor '(5 + -1f)' equal to zero and attempt to solve: Simplifying 5 + -1f = 0 Solving 5 + -1f = 0 Move all terms containing f to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1f = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1f = 0 + -5 -1f = 0 + -5 Combine like terms: 0 + -5 = -5 -1f = -5 Divide each side by '-1'. f = 5 Simplifying f = 5

Solution

f = {-0.6666666667, 5}

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