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Simplifying (-25p2) + 30p + -9 = 0 Reorder the terms: -9 + 30p + (-25p2) = 0 Solving -9 + 30p + (-25p2) = 0 Solving for variable 'p'. Factor a trinomial. (-3 + 5p)(3 + -5p) = 0Subproblem 1
Set the factor '(-3 + 5p)' equal to zero and attempt to solve: Simplifying -3 + 5p = 0 Solving -3 + 5p = 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 + 5p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5p = 0 + 3 5p = 0 + 3 Combine like terms: 0 + 3 = 3 5p = 3 Divide each side by '5'. p = 0.6 Simplifying p = 0.6Subproblem 2
Set the factor '(3 + -5p)' equal to zero and attempt to solve: Simplifying 3 + -5p = 0 Solving 3 + -5p = 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 + -5p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5p = 0 + -3 -5p = 0 + -3 Combine like terms: 0 + -3 = -3 -5p = -3 Divide each side by '-5'. p = 0.6 Simplifying p = 0.6Solution
p = {0.6, 0.6}
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