f^2+3f-28=0

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Solution for f^2+3f-28=0 equation:


Simplifying
f2 + 3f + -28 = 0

Reorder the terms:
-28 + 3f + f2 = 0

Solving
-28 + 3f + f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(-7 + -1f)(4 + -1f) = 0

Subproblem 1

Set the factor '(-7 + -1f)' equal to zero and attempt to solve: Simplifying -7 + -1f = 0 Solving -7 + -1f = 0 Move all terms containing f to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1f = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1f = 0 + 7 -1f = 0 + 7 Combine like terms: 0 + 7 = 7 -1f = 7 Divide each side by '-1'. f = -7 Simplifying f = -7

Subproblem 2

Set the factor '(4 + -1f)' equal to zero and attempt to solve: Simplifying 4 + -1f = 0 Solving 4 + -1f = 0 Move all terms containing f to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1f = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1f = 0 + -4 -1f = 0 + -4 Combine like terms: 0 + -4 = -4 -1f = -4 Divide each side by '-1'. f = 4 Simplifying f = 4

Solution

f = {-7, 4}

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