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