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Simplifying x3 + px2 + 15x + -9 = 0 Reorder the terms: -9 + px2 + 15x + x3 = 0 Solving -9 + px2 + 15x + x3 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9' to each side of the equation. -9 + px2 + 15x + 9 + x3 = 0 + 9 Reorder the terms: -9 + 9 + px2 + 15x + x3 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + px2 + 15x + x3 = 0 + 9 px2 + 15x + x3 = 0 + 9 Combine like terms: 0 + 9 = 9 px2 + 15x + x3 = 9 Add '-15x' to each side of the equation. px2 + 15x + -15x + x3 = 9 + -15x Combine like terms: 15x + -15x = 0 px2 + 0 + x3 = 9 + -15x px2 + x3 = 9 + -15x Add '-1x3' to each side of the equation. px2 + x3 + -1x3 = 9 + -15x + -1x3 Combine like terms: x3 + -1x3 = 0 px2 + 0 = 9 + -15x + -1x3 px2 = 9 + -15x + -1x3 Divide each side by 'x2'. p = 9x-2 + -15x-1 + -1x Simplifying p = 9x-2 + -15x-1 + -1x
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