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Simplifying 7f2 + -15f + 2 = 0 Reorder the terms: 2 + -15f + 7f2 = 0 Solving 2 + -15f + 7f2 = 0 Solving for variable 'f'. Factor a trinomial. (1 + -7f)(2 + -1f) = 0Subproblem 1
Set the factor '(1 + -7f)' equal to zero and attempt to solve: Simplifying 1 + -7f = 0 Solving 1 + -7f = 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 + -7f = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7f = 0 + -1 -7f = 0 + -1 Combine like terms: 0 + -1 = -1 -7f = -1 Divide each side by '-7'. f = 0.1428571429 Simplifying f = 0.1428571429Subproblem 2
Set the factor '(2 + -1f)' equal to zero and attempt to solve: Simplifying 2 + -1f = 0 Solving 2 + -1f = 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 + -1f = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1f = 0 + -2 -1f = 0 + -2 Combine like terms: 0 + -2 = -2 -1f = -2 Divide each side by '-1'. f = 2 Simplifying f = 2Solution
f = {0.1428571429, 2}
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