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Simplifying (x + -4)(x + -9) = x2 + px + 36 Reorder the terms: (-4 + x)(x + -9) = x2 + px + 36 Reorder the terms: (-4 + x)(-9 + x) = x2 + px + 36 Multiply (-4 + x) * (-9 + x) (-4(-9 + x) + x(-9 + x)) = x2 + px + 36 ((-9 * -4 + x * -4) + x(-9 + x)) = x2 + px + 36 ((36 + -4x) + x(-9 + x)) = x2 + px + 36 (36 + -4x + (-9 * x + x * x)) = x2 + px + 36 (36 + -4x + (-9x + x2)) = x2 + px + 36 Combine like terms: -4x + -9x = -13x (36 + -13x + x2) = x2 + px + 36 Reorder the terms: 36 + -13x + x2 = 36 + px + x2 Add '-36' to each side of the equation. 36 + -13x + -36 + x2 = 36 + px + -36 + x2 Reorder the terms: 36 + -36 + -13x + x2 = 36 + px + -36 + x2 Combine like terms: 36 + -36 = 0 0 + -13x + x2 = 36 + px + -36 + x2 -13x + x2 = 36 + px + -36 + x2 Reorder the terms: -13x + x2 = 36 + -36 + px + x2 Combine like terms: 36 + -36 = 0 -13x + x2 = 0 + px + x2 -13x + x2 = px + x2 Add '-1x2' to each side of the equation. -13x + x2 + -1x2 = px + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -13x + 0 = px + x2 + -1x2 -13x = px + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -13x = px + 0 -13x = px Solving -13x = px Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1px' to each side of the equation. -1px + -13x = px + -1px Combine like terms: px + -1px = 0 -1px + -13x = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(p + 13) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(p + 13)' equal to zero and attempt to solve: Simplifying p + 13 = 0 Reorder the terms: 13 + p = 0 Solving 13 + p = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + p = 0 + -13 Combine like terms: 13 + -13 = 0 0 + p = 0 + -13 p = 0 + -13 Combine like terms: 0 + -13 = -13 p = -13 Add '-1p' to each side of the equation. p + -1p = -13 + -1p Combine like terms: p + -1p = 0 0 = -13 + -1p Simplifying 0 = -13 + -1p The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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