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Simplifying Inx2 + 3Inx = In * 32 Reorder the terms: 3nxI + nx2I = In * 32 Reorder the terms for easier multiplication: 3nxI + nx2I = 32nI Solving 3nxI + nx2I = 32nI Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32nI' to each side of the equation. 3nxI + -32nI + nx2I = 32nI + -32nI Reorder the terms: -32nI + 3nxI + nx2I = 32nI + -32nI Combine like terms: 32nI + -32nI = 0 -32nI + 3nxI + nx2I = 0 Factor out the Greatest Common Factor (GCF), 'nI'. nI(-32 + 3x + x2) = 0Subproblem 1
Set the factor 'nI' equal to zero and attempt to solve: Simplifying nI = 0 Solving nI = 0 Move all terms containing n to the left, all other terms to the right. Simplifying nI = 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 '(-32 + 3x + x2)' equal to zero and attempt to solve: Simplifying -32 + 3x + x2 = 0 Solving -32 + 3x + x2 = 0 Move all terms containing n to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 3x + 32 + x2 = 0 + 32 Reorder the terms: -32 + 32 + 3x + x2 = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 3x + x2 = 0 + 32 3x + x2 = 0 + 32 Combine like terms: 0 + 32 = 32 3x + x2 = 32 Add '-3x' to each side of the equation. 3x + -3x + x2 = 32 + -3x Combine like terms: 3x + -3x = 0 0 + x2 = 32 + -3x x2 = 32 + -3x Add '-1x2' to each side of the equation. x2 + -1x2 = 32 + -3x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 32 + -3x + -1x2 Simplifying 0 = 32 + -3x + -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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