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Simplifying -1(p + 9) * x = x2 + 8p + 12 Reorder the terms: -1(9 + p) * x = x2 + 8p + 12 Reorder the terms for easier multiplication: -1x(9 + p) = x2 + 8p + 12 (9 * -1x + p * -1x) = x2 + 8p + 12 Reorder the terms: (-1px + -9x) = x2 + 8p + 12 (-1px + -9x) = x2 + 8p + 12 Reorder the terms: -1px + -9x = 12 + 8p + x2 Solving -1px + -9x = 12 + 8p + x2 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -1px + -8p + -9x = 12 + 8p + -8p + x2 Reorder the terms: -8p + -1px + -9x = 12 + 8p + -8p + x2 Combine like terms: 8p + -8p = 0 -8p + -1px + -9x = 12 + 0 + x2 -8p + -1px + -9x = 12 + x2 Add '9x' to each side of the equation. -8p + -1px + -9x + 9x = 12 + 9x + x2 Combine like terms: -9x + 9x = 0 -8p + -1px + 0 = 12 + 9x + x2 -8p + -1px = 12 + 9x + x2 Reorder the terms: -12 + -8p + -1px + -9x + -1x2 = 12 + 9x + x2 + -12 + -9x + -1x2 Reorder the terms: -12 + -8p + -1px + -9x + -1x2 = 12 + -12 + 9x + -9x + x2 + -1x2 Combine like terms: 12 + -12 = 0 -12 + -8p + -1px + -9x + -1x2 = 0 + 9x + -9x + x2 + -1x2 -12 + -8p + -1px + -9x + -1x2 = 9x + -9x + x2 + -1x2 Combine like terms: 9x + -9x = 0 -12 + -8p + -1px + -9x + -1x2 = 0 + x2 + -1x2 -12 + -8p + -1px + -9x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -12 + -8p + -1px + -9x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(12 + 8p + px + 9x + x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(12 + 8p + px + 9x + x2)' equal to zero and attempt to solve: Simplifying 12 + 8p + px + 9x + x2 = 0 Solving 12 + 8p + px + 9x + x2 = 0 Move all terms containing p to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 8p + px + 9x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + 8p + px + 9x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 8p + px + 9x + x2 = 0 + -12 8p + px + 9x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 8p + px + 9x + x2 = -12 Add '-9x' to each side of the equation. 8p + px + 9x + -9x + x2 = -12 + -9x Combine like terms: 9x + -9x = 0 8p + px + 0 + x2 = -12 + -9x 8p + px + x2 = -12 + -9x Add '-1x2' to each side of the equation. 8p + px + x2 + -1x2 = -12 + -9x + -1x2 Combine like terms: x2 + -1x2 = 0 8p + px + 0 = -12 + -9x + -1x2 8p + px = -12 + -9x + -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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