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Simplifying 12p5a + 10p6a7 = 2p5a Solving 12ap5 + 10a7p6 = 2ap5 Solving for variable 'a'. Reorder the terms: 12ap5 + -2ap5 + 10a7p6 = 2ap5 + -2ap5 Combine like terms: 12ap5 + -2ap5 = 10ap5 10ap5 + 10a7p6 = 2ap5 + -2ap5 Combine like terms: 2ap5 + -2ap5 = 0 10ap5 + 10a7p6 = 0 Factor out the Greatest Common Factor (GCF), '10ap5'. 10ap5(1 + a6p) = 0 Ignore the factor 10.Subproblem 1
Set the factor 'ap5' equal to zero and attempt to solve: Simplifying ap5 = 0 Solving ap5 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ap5 = 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 + a6p)' equal to zero and attempt to solve: Simplifying 1 + a6p = 0 Solving 1 + a6p = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + a6p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + a6p = 0 + -1 a6p = 0 + -1 Combine like terms: 0 + -1 = -1 a6p = -1 Divide each side by 'p'. a6 = -1p-1 Simplifying a6 = -1p-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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