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Simplifying 4(s2 + -2sf + f2) = 0 Reorder the terms: 4(-2fs + f2 + s2) = 0 (-2fs * 4 + f2 * 4 + s2 * 4) = 0 (-8fs + 4f2 + 4s2) = 0 Solving -8fs + 4f2 + 4s2 = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), '4'. 4(-2fs + f2 + s2) = 0 Factor a trinomial. 4((f + -1s)(f + -1s)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(f + -1s)' equal to zero and attempt to solve: Simplifying f + -1s = 0 Solving f + -1s = 0 Move all terms containing f to the left, all other terms to the right. Add 's' to each side of the equation. f + -1s + s = 0 + s Combine like terms: -1s + s = 0 f + 0 = 0 + s f = 0 + s Remove the zero: f = s Simplifying f = sSubproblem 2
Set the factor '(f + -1s)' equal to zero and attempt to solve: Simplifying f + -1s = 0 Solving f + -1s = 0 Move all terms containing f to the left, all other terms to the right. Add 's' to each side of the equation. f + -1s + s = 0 + s Combine like terms: -1s + s = 0 f + 0 = 0 + s f = 0 + s Remove the zero: f = s Simplifying f = sSolution
f = {s, s}
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