6pi=-2pi(q)

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Solution for 6pi=-2pi(q) equation:


Simplifying
6pi = -2pi(q)

Multiply ip * q
6ip = -2ipq

Solving
6ip = -2ipq

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '2ipq' to each side of the equation.
6ip + 2ipq = -2ipq + 2ipq

Combine like terms: -2ipq + 2ipq = 0
6ip + 2ipq = 0

Factor out the Greatest Common Factor (GCF), '2ip'.
2ip(3 + q) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'ip' equal to zero and attempt to solve: Simplifying ip = 0 Solving ip = 0 Move all terms containing i to the left, all other terms to the right. Simplifying ip = 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 '(3 + q)' equal to zero and attempt to solve: Simplifying 3 + q = 0 Solving 3 + q = 0 Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + q = 0 + -3 Combine like terms: 3 + -3 = 0 0 + q = 0 + -3 q = 0 + -3 Combine like terms: 0 + -3 = -3 q = -3 Add '-1q' to each side of the equation. q + -1q = -3 + -1q Combine like terms: q + -1q = 0 0 = -3 + -1q Simplifying 0 = -3 + -1q 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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