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Simplifying 8p * 8p + -4p = 0 Reorder the terms for easier multiplication: 8 * 8p * p + -4p = 0 Multiply 8 * 8 64p * p + -4p = 0 Multiply p * p 64p2 + -4p = 0 Reorder the terms: -4p + 64p2 = 0 Solving -4p + 64p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '4p'. 4p(-1 + 16p) = 0 Ignore the factor 4.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 + 16p)' equal to zero and attempt to solve: Simplifying -1 + 16p = 0 Solving -1 + 16p = 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 + 16p = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 16p = 0 + 1 16p = 0 + 1 Combine like terms: 0 + 1 = 1 16p = 1 Divide each side by '16'. p = 0.0625 Simplifying p = 0.0625Solution
p = {0, 0.0625}
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