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Simplifying 8 + 5(9 + 4x) * ifx = 3 Reorder the terms for easier multiplication: 8 + 5fix(9 + 4x) = 3 8 + (9 * 5fix + 4x * 5fix) = 3 8 + (45fix + 20fix2) = 3 Solving 8 + 45fix + 20fix2 = 3 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 45fix + -8 + 20fix2 = 3 + -8 Reorder the terms: 8 + -8 + 45fix + 20fix2 = 3 + -8 Combine like terms: 8 + -8 = 0 0 + 45fix + 20fix2 = 3 + -8 45fix + 20fix2 = 3 + -8 Combine like terms: 3 + -8 = -5 45fix + 20fix2 = -5 Reorder the terms: 5 + 45fix + 20fix2 = -5 + 5 Combine like terms: -5 + 5 = 0 5 + 45fix + 20fix2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(1 + 9fix + 4fix2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(1 + 9fix + 4fix2)' equal to zero and attempt to solve: Simplifying 1 + 9fix + 4fix2 = 0 Solving 1 + 9fix + 4fix2 = 0 Move all terms containing f to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 9fix + -1 + 4fix2 = 0 + -1 Reorder the terms: 1 + -1 + 9fix + 4fix2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 9fix + 4fix2 = 0 + -1 9fix + 4fix2 = 0 + -1 Combine like terms: 0 + -1 = -1 9fix + 4fix2 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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