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Simplifying foil(2x + -9)(4x + 6) = 0 Reorder the terms: filo(-9 + 2x)(4x + 6) = 0 Reorder the terms: filo(-9 + 2x)(6 + 4x) = 0 Multiply (-9 + 2x) * (6 + 4x) filo(-9(6 + 4x) + 2x * (6 + 4x)) = 0 filo((6 * -9 + 4x * -9) + 2x * (6 + 4x)) = 0 filo((-54 + -36x) + 2x * (6 + 4x)) = 0 filo(-54 + -36x + (6 * 2x + 4x * 2x)) = 0 filo(-54 + -36x + (12x + 8x2)) = 0 Combine like terms: -36x + 12x = -24x filo(-54 + -24x + 8x2) = 0 (-54 * filo + -24x * filo + 8x2 * filo) = 0 (-54filo + -24filox + 8filox2) = 0 Solving -54filo + -24filox + 8filox2 = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2filo'. 2filo(-27 + -12x + 4x2) = 0 Factor a trinomial. 2filo((-3 + -2x)(9 + -2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'filo' equal to zero and attempt to solve: Simplifying filo = 0 Solving filo = 0 Move all terms containing f to the left, all other terms to the right. Simplifying filo = 0 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 '(-3 + -2x)' equal to zero and attempt to solve: Simplifying -3 + -2x = 0 Solving -3 + -2x = 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 + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 0 + 3 -2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2x = 3 Add '2x' to each side of the equation. -2x + 2x = 3 + 2x Combine like terms: -2x + 2x = 0 0 = 3 + 2x Simplifying 0 = 3 + 2x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 0 Move all terms containing f to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Add '2x' to each side of the equation. -2x + 2x = -9 + 2x Combine like terms: -2x + 2x = 0 0 = -9 + 2x Simplifying 0 = -9 + 2x 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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