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Simplifying 5x3p2 + 30xp4 + -15x2p2 = 0 Reorder the terms: -15p2x2 + 5p2x3 + 30p4x = 0 Solving -15p2x2 + 5p2x3 + 30p4x = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '5p2x'. 5p2x(-3x + x2 + 6p2) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'p2x' equal to zero and attempt to solve: Simplifying p2x = 0 Solving p2x = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p2x = 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 '(-3x + x2 + 6p2)' equal to zero and attempt to solve: Simplifying -3x + x2 + 6p2 = 0 Reorder the terms: 6p2 + -3x + x2 = 0 Solving 6p2 + -3x + x2 = 0 Move all terms containing p to the left, all other terms to the right. Add '3x' to each side of the equation. 6p2 + -3x + 3x + x2 = 0 + 3x Combine like terms: -3x + 3x = 0 6p2 + 0 + x2 = 0 + 3x 6p2 + x2 = 0 + 3x Remove the zero: 6p2 + x2 = 3x Add '-1x2' to each side of the equation. 6p2 + x2 + -1x2 = 3x + -1x2 Combine like terms: x2 + -1x2 = 0 6p2 + 0 = 3x + -1x2 6p2 = 3x + -1x2 Divide each side by '6'. p2 = 0.5x + -0.1666666667x2 Simplifying p2 = 0.5x + -0.1666666667x2 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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