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Simplifying Xfor(6 + 1)(4 + 2X) = 56 Combine like terms: 6 + 1 = 7 forX(7)(4 + 2X) = 56 Reorder the terms for easier multiplication: 7forX(4 + 2X) = 56 (4 * 7forX + 2X * 7forX) = 56 (28forX + 14forX2) = 56 Solving 28forX + 14forX2 = 56 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Reorder the terms: -56 + 28forX + 14forX2 = 56 + -56 Combine like terms: 56 + -56 = 0 -56 + 28forX + 14forX2 = 0 Factor out the Greatest Common Factor (GCF), '14'. 14(-4 + 2forX + forX2) = 0 Ignore the factor 14.Subproblem 1
Set the factor '(-4 + 2forX + forX2)' equal to zero and attempt to solve: Simplifying -4 + 2forX + forX2 = 0 Solving -4 + 2forX + forX2 = 0 Move all terms containing f to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 2forX + 4 + forX2 = 0 + 4 Reorder the terms: -4 + 4 + 2forX + forX2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2forX + forX2 = 0 + 4 2forX + forX2 = 0 + 4 Combine like terms: 0 + 4 = 4 2forX + forX2 = 4 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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