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Simplifying s2 + -2sf + -63f2 = 0 Reorder the terms: -2fs + -63f2 + s2 = 0 Solving -2fs + -63f2 + s2 = 0 Solving for variable 'f'. Factor a trinomial. (-7f + -1s)(9f + -1s) = 0Subproblem 1
Set the factor '(-7f + -1s)' equal to zero and attempt to solve: Simplifying -7f + -1s = 0 Solving -7f + -1s = 0 Move all terms containing f to the left, all other terms to the right. Add 's' to each side of the equation. -7f + -1s + s = 0 + s Combine like terms: -1s + s = 0 -7f + 0 = 0 + s -7f = 0 + s Remove the zero: -7f = s Divide each side by '-7'. f = -0.1428571429s Simplifying f = -0.1428571429sSubproblem 2
Set the factor '(9f + -1s)' equal to zero and attempt to solve: Simplifying 9f + -1s = 0 Solving 9f + -1s = 0 Move all terms containing f to the left, all other terms to the right. Add 's' to each side of the equation. 9f + -1s + s = 0 + s Combine like terms: -1s + s = 0 9f + 0 = 0 + s 9f = 0 + s Remove the zero: 9f = s Divide each side by '9'. f = 0.1111111111s Simplifying f = 0.1111111111sSolution
f = {-0.1428571429s, 0.1111111111s}
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