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Simplifying 49f2 + -140f + 100 = 0 Reorder the terms: 100 + -140f + 49f2 = 0 Solving 100 + -140f + 49f2 = 0 Solving for variable 'f'. Factor a trinomial. (10 + -7f)(10 + -7f) = 0Subproblem 1
Set the factor '(10 + -7f)' equal to zero and attempt to solve: Simplifying 10 + -7f = 0 Solving 10 + -7f = 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 + -7f = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -7f = 0 + -10 -7f = 0 + -10 Combine like terms: 0 + -10 = -10 -7f = -10 Divide each side by '-7'. f = 1.428571429 Simplifying f = 1.428571429Subproblem 2
Set the factor '(10 + -7f)' equal to zero and attempt to solve: Simplifying 10 + -7f = 0 Solving 10 + -7f = 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 + -7f = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -7f = 0 + -10 -7f = 0 + -10 Combine like terms: 0 + -10 = -10 -7f = -10 Divide each side by '-7'. f = 1.428571429 Simplifying f = 1.428571429Solution
f = {1.428571429, 1.428571429}
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