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Simplifying 4p2 = -3p Solving 4p2 = -3p Solving for variable 'p'. Reorder the terms: 3p + 4p2 = -3p + 3p Combine like terms: -3p + 3p = 0 3p + 4p2 = 0 Factor out the Greatest Common Factor (GCF), 'p'. p(3 + 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 '(3 + 4p)' equal to zero and attempt to solve: Simplifying 3 + 4p = 0 Solving 3 + 4p = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4p = 0 + -3 4p = 0 + -3 Combine like terms: 0 + -3 = -3 4p = -3 Divide each side by '4'. p = -0.75 Simplifying p = -0.75Solution
p = {0, -0.75}
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