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Simplifying (5F + 4)(6F + -5) = 0 Reorder the terms: (4 + 5F)(6F + -5) = 0 Reorder the terms: (4 + 5F)(-5 + 6F) = 0 Multiply (4 + 5F) * (-5 + 6F) (4(-5 + 6F) + 5F * (-5 + 6F)) = 0 ((-5 * 4 + 6F * 4) + 5F * (-5 + 6F)) = 0 ((-20 + 24F) + 5F * (-5 + 6F)) = 0 (-20 + 24F + (-5 * 5F + 6F * 5F)) = 0 (-20 + 24F + (-25F + 30F2)) = 0 Combine like terms: 24F + -25F = -1F (-20 + -1F + 30F2) = 0 Solving -20 + -1F + 30F2 = 0 Solving for variable 'F'. Factor a trinomial. (-4 + -5F)(5 + -6F) = 0Subproblem 1
Set the factor '(-4 + -5F)' equal to zero and attempt to solve: Simplifying -4 + -5F = 0 Solving -4 + -5F = 0 Move all terms containing F to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5F = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5F = 0 + 4 -5F = 0 + 4 Combine like terms: 0 + 4 = 4 -5F = 4 Divide each side by '-5'. F = -0.8 Simplifying F = -0.8Subproblem 2
Set the factor '(5 + -6F)' equal to zero and attempt to solve: Simplifying 5 + -6F = 0 Solving 5 + -6F = 0 Move all terms containing F to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6F = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6F = 0 + -5 -6F = 0 + -5 Combine like terms: 0 + -5 = -5 -6F = -5 Divide each side by '-6'. F = 0.8333333333 Simplifying F = 0.8333333333Solution
F = {-0.8, 0.8333333333}
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