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Simplifying 42p2 + -6p = 0 Reorder the terms: -6p + 42p2 = 0 Solving -6p + 42p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '6p'. 6p(-1 + 7p) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'p' equal to zero and attempt to solve: Simplifying p = 0 Solving p = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p = 0Subproblem 2
Set the factor '(-1 + 7p)' equal to zero and attempt to solve: Simplifying -1 + 7p = 0 Solving -1 + 7p = 0 Move all terms containing p to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 7p = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7p = 0 + 1 7p = 0 + 1 Combine like terms: 0 + 1 = 1 7p = 1 Divide each side by '7'. p = 0.1428571429 Simplifying p = 0.1428571429Solution
p = {0, 0.1428571429}
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