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Simplifying (6p + -7)(p + 3) = 0 Reorder the terms: (-7 + 6p)(p + 3) = 0 Reorder the terms: (-7 + 6p)(3 + p) = 0 Multiply (-7 + 6p) * (3 + p) (-7(3 + p) + 6p * (3 + p)) = 0 ((3 * -7 + p * -7) + 6p * (3 + p)) = 0 ((-21 + -7p) + 6p * (3 + p)) = 0 (-21 + -7p + (3 * 6p + p * 6p)) = 0 (-21 + -7p + (18p + 6p2)) = 0 Combine like terms: -7p + 18p = 11p (-21 + 11p + 6p2) = 0 Solving -21 + 11p + 6p2 = 0 Solving for variable 'p'. Factor a trinomial. (-3 + -1p)(7 + -6p) = 0Subproblem 1
Set the factor '(-3 + -1p)' equal to zero and attempt to solve: Simplifying -3 + -1p = 0 Solving -3 + -1p = 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 + -1p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1p = 0 + 3 -1p = 0 + 3 Combine like terms: 0 + 3 = 3 -1p = 3 Divide each side by '-1'. p = -3 Simplifying p = -3Subproblem 2
Set the factor '(7 + -6p)' equal to zero and attempt to solve: Simplifying 7 + -6p = 0 Solving 7 + -6p = 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 + -6p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6p = 0 + -7 -6p = 0 + -7 Combine like terms: 0 + -7 = -7 -6p = -7 Divide each side by '-6'. p = 1.166666667 Simplifying p = 1.166666667Solution
p = {-3, 1.166666667}
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