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Simplifying 7p2 + 39p + -70 = 0 Reorder the terms: -70 + 39p + 7p2 = 0 Solving -70 + 39p + 7p2 = 0 Solving for variable 'p'. Factor a trinomial. (-7 + -1p)(10 + -7p) = 0Subproblem 1
Set the factor '(-7 + -1p)' equal to zero and attempt to solve: Simplifying -7 + -1p = 0 Solving -7 + -1p = 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 + -1p = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1p = 0 + 7 -1p = 0 + 7 Combine like terms: 0 + 7 = 7 -1p = 7 Divide each side by '-1'. p = -7 Simplifying p = -7Subproblem 2
Set the factor '(10 + -7p)' equal to zero and attempt to solve: Simplifying 10 + -7p = 0 Solving 10 + -7p = 0 Move all terms containing p to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -7p = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -7p = 0 + -10 -7p = 0 + -10 Combine like terms: 0 + -10 = -10 -7p = -10 Divide each side by '-7'. p = 1.428571429 Simplifying p = 1.428571429Solution
p = {-7, 1.428571429}
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