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Simplifying 7pq2 + -5pa(2 + -1q) = 0 7pq2 + (2 * -5ap + -1q * -5ap) = 0 7pq2 + (-10ap + 5apq) = 0 Reorder the terms: -10ap + 5apq + 7pq2 = 0 Solving -10ap + 5apq + 7pq2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7pq2' to each side of the equation. -10ap + 5apq + 7pq2 + -7pq2 = 0 + -7pq2 Combine like terms: 7pq2 + -7pq2 = 0 -10ap + 5apq + 0 = 0 + -7pq2 -10ap + 5apq = 0 + -7pq2 Remove the zero: -10ap + 5apq = -7pq2 Combine like terms: -7pq2 + 7pq2 = 0 -10ap + 5apq + 7pq2 = 0 Factor out the Greatest Common Factor (GCF), 'p'. p(-10a + 5aq + 7q2) = 0Subproblem 1
Set the factor 'p' equal to zero and attempt to solve: Simplifying p = 0 Solving p = 0 Move all terms containing a to the left, all other terms to the right. Add '-1p' to each side of the equation. p + -1p = 0 + -1p Remove the zero: 0 = -1p Simplifying 0 = -1p 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 '(-10a + 5aq + 7q2)' equal to zero and attempt to solve: Simplifying -10a + 5aq + 7q2 = 0 Solving -10a + 5aq + 7q2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-7q2' to each side of the equation. -10a + 5aq + 7q2 + -7q2 = 0 + -7q2 Combine like terms: 7q2 + -7q2 = 0 -10a + 5aq + 0 = 0 + -7q2 -10a + 5aq = 0 + -7q2 Remove the zero: -10a + 5aq = -7q2 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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