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Simplifying 0 = (-8p8)(q4) + -1(2p7)(q4) Remove parenthesis around (-8p8) 0 = -8p8(q4) + -1(2p7)(q4) Multiply p8 * q4 0 = -8p8q4 + -1(2p7)(q4) Remove parenthesis around (2p7) 0 = -8p8q4 + -1 * 2p7(q4) Multiply -1 * 2 0 = -8p8q4 + -2p7 * q4 Multiply p7 * q4 0 = -8p8q4 + -2p7q4 Reorder the terms: 0 = -2p7q4 + -8p8q4 Solving 0 = -2p7q4 + -8p8q4 Solving for variable 'p'. Remove the zero: 2p7q4 + 8p8q4 = -2p7q4 + -8p8q4 + 2p7q4 + 8p8q4 Reorder the terms: 2p7q4 + 8p8q4 = -2p7q4 + 2p7q4 + -8p8q4 + 8p8q4 Combine like terms: -2p7q4 + 2p7q4 = 0 2p7q4 + 8p8q4 = 0 + -8p8q4 + 8p8q4 2p7q4 + 8p8q4 = -8p8q4 + 8p8q4 Combine like terms: -8p8q4 + 8p8q4 = 0 2p7q4 + 8p8q4 = 0 Factor out the Greatest Common Factor (GCF), '2p7q4'. 2p7q4(1 + 4p) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'p7q4' equal to zero and attempt to solve: Simplifying p7q4 = 0 Solving p7q4 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p7q4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + 4p)' equal to zero and attempt to solve: Simplifying 1 + 4p = 0 Solving 1 + 4p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4p = 0 + -1 4p = 0 + -1 Combine like terms: 0 + -1 = -1 4p = -1 Divide each side by '4'. p = -0.25 Simplifying p = -0.25Solution
p = {-0.25}
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