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Simplifying 5f2 + 49f + -10 = 0 Reorder the terms: -10 + 49f + 5f2 = 0 Solving -10 + 49f + 5f2 = 0 Solving for variable 'f'. Factor a trinomial. (-10 + -1f)(1 + -5f) = 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 '(1 + -5f)' equal to zero and attempt to solve: Simplifying 1 + -5f = 0 Solving 1 + -5f = 0 Move all terms containing f to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5f = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5f = 0 + -1 -5f = 0 + -1 Combine like terms: 0 + -1 = -1 -5f = -1 Divide each side by '-5'. f = 0.2 Simplifying f = 0.2Solution
f = {-10, 0.2}
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