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Simplifying 4p * j + j = 3p * j Multiply p * j 4jp + j = 3p * j Reorder the terms: j + 4jp = 3p * j Multiply p * j j + 4jp = 3jp Solving j + 4jp = 3jp Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-3jp' to each side of the equation. j + 4jp + -3jp = 3jp + -3jp Combine like terms: 4jp + -3jp = 1jp j + 1jp = 3jp + -3jp Combine like terms: 3jp + -3jp = 0 j + 1jp = 0 Factor out the Greatest Common Factor (GCF), 'j'. j(1 + p) = 0Subproblem 1
Set the factor 'j' equal to zero and attempt to solve: Simplifying j = 0 Solving j = 0 Move all terms containing j to the left, all other terms to the right. Simplifying j = 0Subproblem 2
Set the factor '(1 + p)' equal to zero and attempt to solve: Simplifying 1 + p = 0 Solving 1 + p = 0 Move all terms containing j to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + p = 0 + -1 p = 0 + -1 Combine like terms: 0 + -1 = -1 p = -1 Add '-1p' to each side of the equation. p + -1p = -1 + -1p Combine like terms: p + -1p = 0 0 = -1 + -1p Simplifying 0 = -1 + -1p The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
j = {0}
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