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Simplifying (-5p3 + 6p2) + (8p3 + -12p2) = 0 Reorder the terms: (6p2 + -5p3) + (8p3 + -12p2) = 0 Remove parenthesis around (6p2 + -5p3) 6p2 + -5p3 + (8p3 + -12p2) = 0 Reorder the terms: 6p2 + -5p3 + (-12p2 + 8p3) = 0 Remove parenthesis around (-12p2 + 8p3) 6p2 + -5p3 + -12p2 + 8p3 = 0 Reorder the terms: 6p2 + -12p2 + -5p3 + 8p3 = 0 Combine like terms: 6p2 + -12p2 = -6p2 -6p2 + -5p3 + 8p3 = 0 Combine like terms: -5p3 + 8p3 = 3p3 -6p2 + 3p3 = 0 Solving -6p2 + 3p3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '3p2'. 3p2(-2 + p) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'p2' equal to zero and attempt to solve: Simplifying p2 = 0 Solving p2 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p2 = 0 Take the square root of each side: p = {0}Subproblem 2
Set the factor '(-2 + p)' equal to zero and attempt to solve: Simplifying -2 + p = 0 Solving -2 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + p = 0 + 2 Combine like terms: -2 + 2 = 0 0 + p = 0 + 2 p = 0 + 2 Combine like terms: 0 + 2 = 2 p = 2 Simplifying p = 2Solution
p = {0, 2}
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