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Simplifying (3f + 2)(f + -5) = 0 Reorder the terms: (2 + 3f)(f + -5) = 0 Reorder the terms: (2 + 3f)(-5 + f) = 0 Multiply (2 + 3f) * (-5 + f) (2(-5 + f) + 3f * (-5 + f)) = 0 ((-5 * 2 + f * 2) + 3f * (-5 + f)) = 0 ((-10 + 2f) + 3f * (-5 + f)) = 0 (-10 + 2f + (-5 * 3f + f * 3f)) = 0 (-10 + 2f + (-15f + 3f2)) = 0 Combine like terms: 2f + -15f = -13f (-10 + -13f + 3f2) = 0 Solving -10 + -13f + 3f2 = 0 Solving for variable 'f'. Factor a trinomial. (-2 + -3f)(5 + -1f) = 0Subproblem 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 = -0.6666666667Subproblem 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 = 5Solution
f = {-0.6666666667, 5}
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