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Simplifying (X2 + 6x) * cm = (x2 + -10x + 32) * cm Reorder the terms for easier multiplication: cm(X2 + 6x) = (x2 + -10x + 32) * cm (X2 * cm + 6x * cm) = (x2 + -10x + 32) * cm (cmX2 + 6cmx) = (x2 + -10x + 32) * cm Reorder the terms: cmX2 + 6cmx = (32 + -10x + x2) * cm Reorder the terms for easier multiplication: cmX2 + 6cmx = cm(32 + -10x + x2) cmX2 + 6cmx = (32 * cm + -10x * cm + x2 * cm) cmX2 + 6cmx = (32cm + -10cmx + cmx2) Solving cmX2 + 6cmx = 32cm + -10cmx + cmx2 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-32cm' to each side of the equation. cmX2 + -32cm + 6cmx = 32cm + -10cmx + -32cm + cmx2 Reorder the terms: -32cm + cmX2 + 6cmx = 32cm + -10cmx + -32cm + cmx2 Reorder the terms: -32cm + cmX2 + 6cmx = 32cm + -32cm + -10cmx + cmx2 Combine like terms: 32cm + -32cm = 0 -32cm + cmX2 + 6cmx = 0 + -10cmx + cmx2 -32cm + cmX2 + 6cmx = -10cmx + cmx2 Add '10cmx' to each side of the equation. -32cm + cmX2 + 6cmx + 10cmx = -10cmx + 10cmx + cmx2 Combine like terms: 6cmx + 10cmx = 16cmx -32cm + cmX2 + 16cmx = -10cmx + 10cmx + cmx2 Combine like terms: -10cmx + 10cmx = 0 -32cm + cmX2 + 16cmx = 0 + cmx2 -32cm + cmX2 + 16cmx = cmx2 Add '-1cmx2' to each side of the equation. -32cm + cmX2 + 16cmx + -1cmx2 = cmx2 + -1cmx2 Combine like terms: cmx2 + -1cmx2 = 0 -32cm + cmX2 + 16cmx + -1cmx2 = 0 Factor out the Greatest Common Factor (GCF), 'cm'. cm(-32 + X2 + 16x + -1x2) = 0Subproblem 1
Set the factor 'cm' equal to zero and attempt to solve: Simplifying cm = 0 Solving cm = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cm = 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 + X2 + 16x + -1x2)' equal to zero and attempt to solve: Simplifying -32 + X2 + 16x + -1x2 = 0 Solving -32 + X2 + 16x + -1x2 = 0 Move all terms containing c to the left, all other terms to the right. Add '32' to each side of the equation. -32 + X2 + 16x + 32 + -1x2 = 0 + 32 Reorder the terms: -32 + 32 + X2 + 16x + -1x2 = 0 + 32 Combine like terms: -32 + 32 = 0 0 + X2 + 16x + -1x2 = 0 + 32 X2 + 16x + -1x2 = 0 + 32 Combine like terms: 0 + 32 = 32 X2 + 16x + -1x2 = 32 Add '-1X2' to each side of the equation. X2 + 16x + -1X2 + -1x2 = 32 + -1X2 Reorder the terms: X2 + -1X2 + 16x + -1x2 = 32 + -1X2 Combine like terms: X2 + -1X2 = 0 0 + 16x + -1x2 = 32 + -1X2 16x + -1x2 = 32 + -1X2 Add '-16x' to each side of the equation. 16x + -16x + -1x2 = 32 + -1X2 + -16x Combine like terms: 16x + -16x = 0 0 + -1x2 = 32 + -1X2 + -16x -1x2 = 32 + -1X2 + -16x Add 'x2' to each side of the equation. -1x2 + x2 = 32 + -1X2 + -16x + x2 Combine like terms: -1x2 + x2 = 0 0 = 32 + -1X2 + -16x + x2 Simplifying 0 = 32 + -1X2 + -16x + x2 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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