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Simplifying 75f2 + 210f + 147 = 0 Reorder the terms: 147 + 210f + 75f2 = 0 Solving 147 + 210f + 75f2 = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), '3'. 3(49 + 70f + 25f2) = 0 Factor a trinomial. 3((7 + 5f)(7 + 5f)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(7 + 5f)' equal to zero and attempt to solve: Simplifying 7 + 5f = 0 Solving 7 + 5f = 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 + 5f = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5f = 0 + -7 5f = 0 + -7 Combine like terms: 0 + -7 = -7 5f = -7 Divide each side by '5'. f = -1.4 Simplifying f = -1.4Subproblem 2
Set the factor '(7 + 5f)' equal to zero and attempt to solve: Simplifying 7 + 5f = 0 Solving 7 + 5f = 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 + 5f = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5f = 0 + -7 5f = 0 + -7 Combine like terms: 0 + -7 = -7 5f = -7 Divide each side by '5'. f = -1.4 Simplifying f = -1.4Solution
f = {-1.4, -1.4}
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