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Simplifying (3p + 2) * x(2P + -1) = 0 Reorder the terms: (2 + 3p) * x(2P + -1) = 0 Reorder the terms: (2 + 3p) * x(-1 + 2P) = 0 Reorder the terms for easier multiplication: x(2 + 3p)(-1 + 2P) = 0 Multiply (2 + 3p) * (-1 + 2P) x(2(-1 + 2P) + 3p * (-1 + 2P)) = 0 x((-1 * 2 + 2P * 2) + 3p * (-1 + 2P)) = 0 x((-2 + 4P) + 3p * (-1 + 2P)) = 0 x(-2 + 4P + (-1 * 3p + 2P * 3p)) = 0 x(-2 + 4P + (-3p + 6pP)) = 0 x(-2 + 4P + -3p + 6pP) = 0 (-2 * x + 4P * x + -3p * x + 6pP * x) = 0 Reorder the terms: (-3px + 6pxP + -2x + 4xP) = 0 (-3px + 6pxP + -2x + 4xP) = 0 Solving -3px + 6pxP + -2x + 4xP = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2x' to each side of the equation. -3px + 6pxP + -2x + 2x + 4xP = 0 + 2x Combine like terms: -2x + 2x = 0 -3px + 6pxP + 0 + 4xP = 0 + 2x -3px + 6pxP + 4xP = 0 + 2x Remove the zero: -3px + 6pxP + 4xP = 2x Add '-4xP' to each side of the equation. -3px + 6pxP + 4xP + -4xP = 2x + -4xP Combine like terms: 4xP + -4xP = 0 -3px + 6pxP + 0 = 2x + -4xP -3px + 6pxP = 2x + -4xP Reorder the terms: -3px + 6pxP + -2x + 4xP = 2x + -2x + -4xP + 4xP Combine like terms: 2x + -2x = 0 -3px + 6pxP + -2x + 4xP = 0 + -4xP + 4xP -3px + 6pxP + -2x + 4xP = -4xP + 4xP Combine like terms: -4xP + 4xP = 0 -3px + 6pxP + -2x + 4xP = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-3p + 6pP + -2 + 4P) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing p to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(-3p + 6pP + -2 + 4P)' equal to zero and attempt to solve: Simplifying -3p + 6pP + -2 + 4P = 0 Reorder the terms: -2 + 4P + -3p + 6pP = 0 Solving -2 + 4P + -3p + 6pP = 0 Move all terms containing p to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 4P + -3p + 2 + 6pP = 0 + 2 Reorder the terms: -2 + 2 + 4P + -3p + 6pP = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 4P + -3p + 6pP = 0 + 2 4P + -3p + 6pP = 0 + 2 Combine like terms: 0 + 2 = 2 4P + -3p + 6pP = 2 Add '-4P' to each side of the equation. 4P + -3p + -4P + 6pP = 2 + -4P Reorder the terms: 4P + -4P + -3p + 6pP = 2 + -4P Combine like terms: 4P + -4P = 0 0 + -3p + 6pP = 2 + -4P -3p + 6pP = 2 + -4P 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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