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Simplifying Xif(5 + -3)(4x + -6) = 12 Combine like terms: 5 + -3 = 2 fiX(2)(4x + -6) = 12 Reorder the terms: fiX * 2(-6 + 4x) = 12 Reorder the terms for easier multiplication: 2fiX(-6 + 4x) = 12 (-6 * 2fiX + 4x * 2fiX) = 12 (-12fiX + 8fixX) = 12 Solving -12fiX + 8fixX = 12 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Reorder the terms: -12 + -12fiX + 8fixX = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + -12fiX + 8fixX = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-3 + -3fiX + 2fixX) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-3 + -3fiX + 2fixX)' equal to zero and attempt to solve: Simplifying -3 + -3fiX + 2fixX = 0 Solving -3 + -3fiX + 2fixX = 0 Move all terms containing f to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -3fiX + 3 + 2fixX = 0 + 3 Reorder the terms: -3 + 3 + -3fiX + 2fixX = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -3fiX + 2fixX = 0 + 3 -3fiX + 2fixX = 0 + 3 Combine like terms: 0 + 3 = 3 -3fiX + 2fixX = 3 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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