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Simplifying 10f4 + -29f2 + -21 = 0 Reorder the terms: -21 + -29f2 + 10f4 = 0 Solving -21 + -29f2 + 10f4 = 0 Solving for variable 'f'. Factor a trinomial. (-3 + -5f2)(7 + -2f2) = 0Subproblem 1
Set the factor '(-3 + -5f2)' equal to zero and attempt to solve: Simplifying -3 + -5f2 = 0 Solving -3 + -5f2 = 0 Move all terms containing f to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5f2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5f2 = 0 + 3 -5f2 = 0 + 3 Combine like terms: 0 + 3 = 3 -5f2 = 3 Divide each side by '-5'. f2 = -0.6 Simplifying f2 = -0.6 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(7 + -2f2)' equal to zero and attempt to solve: Simplifying 7 + -2f2 = 0 Solving 7 + -2f2 = 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 + -2f2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2f2 = 0 + -7 -2f2 = 0 + -7 Combine like terms: 0 + -7 = -7 -2f2 = -7 Divide each side by '-2'. f2 = 3.5 Simplifying f2 = 3.5 Take the square root of each side: f = {-1.870828693, 1.870828693}Solution
f = {-1.870828693, 1.870828693}
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