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Simplifying 4n4p + x2 + -5x + 2 = 0 Reorder the terms: 2 + 4n4p + -5x + x2 = 0 Solving 2 + 4n4p + -5x + x2 = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 4n4p + -5x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + 4n4p + -5x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4n4p + -5x + x2 = 0 + -2 4n4p + -5x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 4n4p + -5x + x2 = -2 Add '5x' to each side of the equation. 4n4p + -5x + 5x + x2 = -2 + 5x Combine like terms: -5x + 5x = 0 4n4p + 0 + x2 = -2 + 5x 4n4p + x2 = -2 + 5x Add '-1x2' to each side of the equation. 4n4p + x2 + -1x2 = -2 + 5x + -1x2 Combine like terms: x2 + -1x2 = 0 4n4p + 0 = -2 + 5x + -1x2 4n4p = -2 + 5x + -1x2 Divide each side by '4p'. n4 = -0.5p-1 + 1.25p-1x + -0.25p-1x2 Simplifying n4 = -0.5p-1 + 1.25p-1x + -0.25p-1x2 Reorder the terms: n4 + 0.5p-1 + -1.25p-1x + 0.25p-1x2 = -0.5p-1 + 0.5p-1 + 1.25p-1x + -1.25p-1x + -0.25p-1x2 + 0.25p-1x2 Combine like terms: -0.5p-1 + 0.5p-1 = 0.0 n4 + 0.5p-1 + -1.25p-1x + 0.25p-1x2 = 0.0 + 1.25p-1x + -1.25p-1x + -0.25p-1x2 + 0.25p-1x2 n4 + 0.5p-1 + -1.25p-1x + 0.25p-1x2 = 1.25p-1x + -1.25p-1x + -0.25p-1x2 + 0.25p-1x2 Combine like terms: 1.25p-1x + -1.25p-1x = 0.00 n4 + 0.5p-1 + -1.25p-1x + 0.25p-1x2 = 0.00 + -0.25p-1x2 + 0.25p-1x2 n4 + 0.5p-1 + -1.25p-1x + 0.25p-1x2 = -0.25p-1x2 + 0.25p-1x2 Combine like terms: -0.25p-1x2 + 0.25p-1x2 = 0.00 n4 + 0.5p-1 + -1.25p-1x + 0.25p-1x2 = 0.00 Factor out the Greatest Common Factor (GCF), 'p-1'. p-1(n4p + 0.5 + -1.25x + 0.25x2) = 0.00Subproblem 1
Set the factor 'p-1' equal to zero and attempt to solve: Simplifying p-1 = 0 Solving p-1 = 0 Move all terms containing n to the left, all other terms to the right. Add '-1p-1' to each side of the equation. p-1 + -1p-1 = 0 + -1p-1 Remove the zero: 0 = -1p-1 Simplifying 0 = -1p-1 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 '(n4p + 0.5 + -1.25x + 0.25x2)' equal to zero and attempt to solve: Simplifying n4p + 0.5 + -1.25x + 0.25x2 = 0 Reorder the terms: 0.5 + n4p + -1.25x + 0.25x2 = 0 Solving 0.5 + n4p + -1.25x + 0.25x2 = 0 Move all terms containing n to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + n4p + -1.25x + -0.5 + 0.25x2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + n4p + -1.25x + 0.25x2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + n4p + -1.25x + 0.25x2 = 0 + -0.5 n4p + -1.25x + 0.25x2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 n4p + -1.25x + 0.25x2 = -0.5 Add '1.25x' to each side of the equation. n4p + -1.25x + 1.25x + 0.25x2 = -0.5 + 1.25x Combine like terms: -1.25x + 1.25x = 0.00 n4p + 0.00 + 0.25x2 = -0.5 + 1.25x n4p + 0.25x2 = -0.5 + 1.25x Add '-0.25x2' to each side of the equation. n4p + 0.25x2 + -0.25x2 = -0.5 + 1.25x + -0.25x2 Combine like terms: 0.25x2 + -0.25x2 = 0.00 n4p + 0.00 = -0.5 + 1.25x + -0.25x2 n4p = -0.5 + 1.25x + -0.25x2 Divide each side by 'p'. n4 = -0.5p-1 + 1.25p-1x + -0.25p-1x2 Simplifying n4 = -0.5p-1 + 1.25p-1x + -0.25p-1x2 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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