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