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Simplifying 7 + -12f = 4f2 Solving 7 + -12f = 4f2 Solving for variable 'f'. Combine like terms: 4f2 + -4f2 = 0 7 + -12f + -4f2 = 0 Factor a trinomial. (1 + -2f)(7 + 2f) = 0Subproblem 1
Set the factor '(1 + -2f)' equal to zero and attempt to solve: Simplifying 1 + -2f = 0 Solving 1 + -2f = 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 + -2f = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2f = 0 + -1 -2f = 0 + -1 Combine like terms: 0 + -1 = -1 -2f = -1 Divide each side by '-2'. f = 0.5 Simplifying f = 0.5Subproblem 2
Set the factor '(7 + 2f)' equal to zero and attempt to solve: Simplifying 7 + 2f = 0 Solving 7 + 2f = 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 + 2f = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2f = 0 + -7 2f = 0 + -7 Combine like terms: 0 + -7 = -7 2f = -7 Divide each side by '2'. f = -3.5 Simplifying f = -3.5Solution
f = {0.5, -3.5}
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