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Simplifying 3(2p + 7) = 15(p + -4) * e Reorder the terms: 3(7 + 2p) = 15(p + -4) * e (7 * 3 + 2p * 3) = 15(p + -4) * e (21 + 6p) = 15(p + -4) * e Reorder the terms: 21 + 6p = 15(-4 + p) * e Reorder the terms for easier multiplication: 21 + 6p = 15e(-4 + p) 21 + 6p = (-4 * 15e + p * 15e) 21 + 6p = (-60e + 15ep) Solving 21 + 6p = -60e + 15ep Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15ep' to each side of the equation. 21 + -15ep + 6p = -60e + 15ep + -15ep Combine like terms: 15ep + -15ep = 0 21 + -15ep + 6p = -60e + 0 21 + -15ep + 6p = -60e Add '-21' to each side of the equation. 21 + -15ep + -21 + 6p = -21 + -60e Reorder the terms: 21 + -21 + -15ep + 6p = -21 + -60e Combine like terms: 21 + -21 = 0 0 + -15ep + 6p = -21 + -60e -15ep + 6p = -21 + -60e Reorder the terms: 21 + 60e + -15ep + 6p = -21 + -60e + 21 + 60e Reorder the terms: 21 + 60e + -15ep + 6p = -21 + 21 + -60e + 60e Combine like terms: -21 + 21 = 0 21 + 60e + -15ep + 6p = 0 + -60e + 60e 21 + 60e + -15ep + 6p = -60e + 60e Combine like terms: -60e + 60e = 0 21 + 60e + -15ep + 6p = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(7 + 20e + -5ep + 2p) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(7 + 20e + -5ep + 2p)' equal to zero and attempt to solve: Simplifying 7 + 20e + -5ep + 2p = 0 Solving 7 + 20e + -5ep + 2p = 0 Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 20e + -5ep + -7 + 2p = 0 + -7 Reorder the terms: 7 + -7 + 20e + -5ep + 2p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 20e + -5ep + 2p = 0 + -7 20e + -5ep + 2p = 0 + -7 Combine like terms: 0 + -7 = -7 20e + -5ep + 2p = -7 Add '-20e' to each side of the equation. 20e + -5ep + -20e + 2p = -7 + -20e Reorder the terms: 20e + -20e + -5ep + 2p = -7 + -20e Combine like terms: 20e + -20e = 0 0 + -5ep + 2p = -7 + -20e -5ep + 2p = -7 + -20e 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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