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Simplifying 2f3 + -28f2 + 98f = 0 Reorder the terms: 98f + -28f2 + 2f3 = 0 Solving 98f + -28f2 + 2f3 = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), '2f'. 2f(49 + -14f + f2) = 0 Factor a trinomial. 2f((7 + -1f)(7 + -1f)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'f' equal to zero and attempt to solve: Simplifying f = 0 Solving f = 0 Move all terms containing f to the left, all other terms to the right. Simplifying f = 0Subproblem 2
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 = 7Subproblem 3
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 = 7Solution
f = {0, 7, 7}
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