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Simplifying (7x + 14)(8 + -2p) = 0 Reorder the terms: (14 + 7x)(8 + -2p) = 0 Multiply (14 + 7x) * (8 + -2p) (14(8 + -2p) + 7x * (8 + -2p)) = 0 ((8 * 14 + -2p * 14) + 7x * (8 + -2p)) = 0 ((112 + -28p) + 7x * (8 + -2p)) = 0 (112 + -28p + (8 * 7x + -2p * 7x)) = 0 Reorder the terms: (112 + -28p + (-14px + 56x)) = 0 (112 + -28p + (-14px + 56x)) = 0 (112 + -28p + -14px + 56x) = 0 Solving 112 + -28p + -14px + 56x = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-112' to each side of the equation. 112 + -28p + -14px + -112 + 56x = 0 + -112 Reorder the terms: 112 + -112 + -28p + -14px + 56x = 0 + -112 Combine like terms: 112 + -112 = 0 0 + -28p + -14px + 56x = 0 + -112 -28p + -14px + 56x = 0 + -112 Combine like terms: 0 + -112 = -112 -28p + -14px + 56x = -112 Add '-56x' to each side of the equation. -28p + -14px + 56x + -56x = -112 + -56x Combine like terms: 56x + -56x = 0 -28p + -14px + 0 = -112 + -56x -28p + -14px = -112 + -56x Reorder the terms: 112 + -28p + -14px + 56x = -112 + -56x + 112 + 56x Reorder the terms: 112 + -28p + -14px + 56x = -112 + 112 + -56x + 56x Combine like terms: -112 + 112 = 0 112 + -28p + -14px + 56x = 0 + -56x + 56x 112 + -28p + -14px + 56x = -56x + 56x Combine like terms: -56x + 56x = 0 112 + -28p + -14px + 56x = 0 Factor out the Greatest Common Factor (GCF), '14'. 14(8 + -2p + -1px + 4x) = 0 Ignore the factor 14.Subproblem 1
Set the factor '(8 + -2p + -1px + 4x)' equal to zero and attempt to solve: Simplifying 8 + -2p + -1px + 4x = 0 Solving 8 + -2p + -1px + 4x = 0 Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -2p + -1px + -8 + 4x = 0 + -8 Reorder the terms: 8 + -8 + -2p + -1px + 4x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2p + -1px + 4x = 0 + -8 -2p + -1px + 4x = 0 + -8 Combine like terms: 0 + -8 = -8 -2p + -1px + 4x = -8 Add '-4x' to each side of the equation. -2p + -1px + 4x + -4x = -8 + -4x Combine like terms: 4x + -4x = 0 -2p + -1px + 0 = -8 + -4x -2p + -1px = -8 + -4x 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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