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Simplifying -56py4 + -28py3 + -35py2 = 0 Reorder the terms: -35py2 + -28py3 + -56py4 = 0 Solving -35py2 + -28py3 + -56py4 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '-7py2'. -7py2(5 + 4y + 8y2) = 0 Ignore the factor -7.Subproblem 1
Set the factor 'py2' equal to zero and attempt to solve: Simplifying py2 = 0 Solving py2 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying py2 = 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 '(5 + 4y + 8y2)' equal to zero and attempt to solve: Simplifying 5 + 4y + 8y2 = 0 Solving 5 + 4y + 8y2 = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 4y + -5 + 8y2 = 0 + -5 Reorder the terms: 5 + -5 + 4y + 8y2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4y + 8y2 = 0 + -5 4y + 8y2 = 0 + -5 Combine like terms: 0 + -5 = -5 4y + 8y2 = -5 Add '-4y' to each side of the equation. 4y + -4y + 8y2 = -5 + -4y Combine like terms: 4y + -4y = 0 0 + 8y2 = -5 + -4y 8y2 = -5 + -4y Add '-8y2' to each side of the equation. 8y2 + -8y2 = -5 + -4y + -8y2 Combine like terms: 8y2 + -8y2 = 0 0 = -5 + -4y + -8y2 Simplifying 0 = -5 + -4y + -8y2 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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