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Simplifying f(3f + 2) + -8(3f + 2) = 0 Reorder the terms: f(2 + 3f) + -8(3f + 2) = 0 (2 * f + 3f * f) + -8(3f + 2) = 0 (2f + 3f2) + -8(3f + 2) = 0 Reorder the terms: 2f + 3f2 + -8(2 + 3f) = 0 2f + 3f2 + (2 * -8 + 3f * -8) = 0 2f + 3f2 + (-16 + -24f) = 0 Reorder the terms: -16 + 2f + -24f + 3f2 = 0 Combine like terms: 2f + -24f = -22f -16 + -22f + 3f2 = 0 Solving -16 + -22f + 3f2 = 0 Solving for variable 'f'. Factor a trinomial. (-2 + -3f)(8 + -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 '(8 + -1f)' equal to zero and attempt to solve: Simplifying 8 + -1f = 0 Solving 8 + -1f = 0 Move all terms containing f to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1f = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1f = 0 + -8 -1f = 0 + -8 Combine like terms: 0 + -8 = -8 -1f = -8 Divide each side by '-1'. f = 8 Simplifying f = 8Solution
f = {-0.6666666667, 8}
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