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Simplifying -3p(7p + -9x + -6) = 0 Reorder the terms: -3p(-6 + 7p + -9x) = 0 (-6 * -3p + 7p * -3p + -9x * -3p) = 0 Reorder the terms: (18p + 27px + -21p2) = 0 (18p + 27px + -21p2) = 0 Solving 18p + 27px + -21p2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '3p'. 3p(6 + 9x + -7p) = 0 Ignore the factor 3.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 '(6 + 9x + -7p)' equal to zero and attempt to solve: Simplifying 6 + 9x + -7p = 0 Reorder the terms: 6 + -7p + 9x = 0 Solving 6 + -7p + 9x = 0 Move all terms containing p to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -7p + -6 + 9x = 0 + -6 Reorder the terms: 6 + -6 + -7p + 9x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7p + 9x = 0 + -6 -7p + 9x = 0 + -6 Combine like terms: 0 + -6 = -6 -7p + 9x = -6 Add '-9x' to each side of the equation. -7p + 9x + -9x = -6 + -9x Combine like terms: 9x + -9x = 0 -7p + 0 = -6 + -9x -7p = -6 + -9x Divide each side by '-7'. p = 0.8571428571 + 1.285714286x Simplifying p = 0.8571428571 + 1.285714286xSolution
p = {0, 0.8571428571 + 1.285714286x}
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