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Simplifying (f + -15)(f + 10) = 0 Reorder the terms: (-15 + f)(f + 10) = 0 Reorder the terms: (-15 + f)(10 + f) = 0 Multiply (-15 + f) * (10 + f) (-15(10 + f) + f(10 + f)) = 0 ((10 * -15 + f * -15) + f(10 + f)) = 0 ((-150 + -15f) + f(10 + f)) = 0 (-150 + -15f + (10 * f + f * f)) = 0 (-150 + -15f + (10f + f2)) = 0 Combine like terms: -15f + 10f = -5f (-150 + -5f + f2) = 0 Solving -150 + -5f + f2 = 0 Solving for variable 'f'. Factor a trinomial. (-10 + -1f)(15 + -1f) = 0Subproblem 1
Set the factor '(-10 + -1f)' equal to zero and attempt to solve: Simplifying -10 + -1f = 0 Solving -10 + -1f = 0 Move all terms containing f to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1f = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1f = 0 + 10 -1f = 0 + 10 Combine like terms: 0 + 10 = 10 -1f = 10 Divide each side by '-1'. f = -10 Simplifying f = -10Subproblem 2
Set the factor '(15 + -1f)' equal to zero and attempt to solve: Simplifying 15 + -1f = 0 Solving 15 + -1f = 0 Move all terms containing f to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1f = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1f = 0 + -15 -1f = 0 + -15 Combine like terms: 0 + -15 = -15 -1f = -15 Divide each side by '-1'. f = 15 Simplifying f = 15Solution
f = {-10, 15}
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