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Simplifying 0 = 7p + -4p2 Solving 0 = 7p + -4p2 Solving for variable 'p'. Remove the zero: -7p + 4p2 = 7p + -4p2 + -7p + 4p2 Reorder the terms: -7p + 4p2 = 7p + -7p + -4p2 + 4p2 Combine like terms: 7p + -7p = 0 -7p + 4p2 = 0 + -4p2 + 4p2 -7p + 4p2 = -4p2 + 4p2 Combine like terms: -4p2 + 4p2 = 0 -7p + 4p2 = 0 Factor out the Greatest Common Factor (GCF), 'p'. p(-7 + 4p) = 0Subproblem 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 '(-7 + 4p)' equal to zero and attempt to solve: Simplifying -7 + 4p = 0 Solving -7 + 4p = 0 Move all terms containing p to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4p = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4p = 0 + 7 4p = 0 + 7 Combine like terms: 0 + 7 = 7 4p = 7 Divide each side by '4'. p = 1.75 Simplifying p = 1.75Solution
p = {0, 1.75}
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