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Simplifying (x + 3) * am + (x + 3) * bm + (x + 3) * cm = 0 Reorder the terms: (3 + x) * am + (x + 3) * bm + (x + 3) * cm = 0 Reorder the terms for easier multiplication: am(3 + x) + (x + 3) * bm + (x + 3) * cm = 0 (3 * am + x * am) + (x + 3) * bm + (x + 3) * cm = 0 (3am + amx) + (x + 3) * bm + (x + 3) * cm = 0 Reorder the terms: 3am + amx + (3 + x) * bm + (x + 3) * cm = 0 Reorder the terms for easier multiplication: 3am + amx + bm(3 + x) + (x + 3) * cm = 0 3am + amx + (3 * bm + x * bm) + (x + 3) * cm = 0 3am + amx + (3bm + bmx) + (x + 3) * cm = 0 Reorder the terms: 3am + amx + 3bm + bmx + (3 + x) * cm = 0 Reorder the terms for easier multiplication: 3am + amx + 3bm + bmx + cm(3 + x) = 0 3am + amx + 3bm + bmx + (3 * cm + x * cm) = 0 3am + amx + 3bm + bmx + (3cm + cmx) = 0 Solving 3am + amx + 3bm + bmx + 3cm + cmx = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3bm' to each side of the equation. 3am + amx + 3bm + bmx + 3cm + -3bm + cmx = 0 + -3bm Reorder the terms: 3am + amx + 3bm + -3bm + bmx + 3cm + cmx = 0 + -3bm Combine like terms: 3bm + -3bm = 0 3am + amx + 0 + bmx + 3cm + cmx = 0 + -3bm 3am + amx + bmx + 3cm + cmx = 0 + -3bm Remove the zero: 3am + amx + bmx + 3cm + cmx = -3bm Add '-1bmx' to each side of the equation. 3am + amx + bmx + 3cm + -1bmx + cmx = -3bm + -1bmx Reorder the terms: 3am + amx + bmx + -1bmx + 3cm + cmx = -3bm + -1bmx Combine like terms: bmx + -1bmx = 0 3am + amx + 0 + 3cm + cmx = -3bm + -1bmx 3am + amx + 3cm + cmx = -3bm + -1bmx Add '-3cm' to each side of the equation. 3am + amx + 3cm + -3cm + cmx = -3bm + -1bmx + -3cm Combine like terms: 3cm + -3cm = 0 3am + amx + 0 + cmx = -3bm + -1bmx + -3cm 3am + amx + cmx = -3bm + -1bmx + -3cm Add '-1cmx' to each side of the equation. 3am + amx + cmx + -1cmx = -3bm + -1bmx + -3cm + -1cmx Combine like terms: cmx + -1cmx = 0 3am + amx + 0 = -3bm + -1bmx + -3cm + -1cmx 3am + amx = -3bm + -1bmx + -3cm + -1cmx Reorder the terms: 3am + amx + 3bm + bmx + 3cm + cmx = -3bm + 3bm + -1bmx + bmx + -3cm + 3cm + -1cmx + cmx Combine like terms: -3bm + 3bm = 0 3am + amx + 3bm + bmx + 3cm + cmx = 0 + -1bmx + bmx + -3cm + 3cm + -1cmx + cmx 3am + amx + 3bm + bmx + 3cm + cmx = -1bmx + bmx + -3cm + 3cm + -1cmx + cmx Combine like terms: -1bmx + bmx = 0 3am + amx + 3bm + bmx + 3cm + cmx = 0 + -3cm + 3cm + -1cmx + cmx 3am + amx + 3bm + bmx + 3cm + cmx = -3cm + 3cm + -1cmx + cmx Combine like terms: -3cm + 3cm = 0 3am + amx + 3bm + bmx + 3cm + cmx = 0 + -1cmx + cmx 3am + amx + 3bm + bmx + 3cm + cmx = -1cmx + cmx Combine like terms: -1cmx + cmx = 0 3am + amx + 3bm + bmx + 3cm + cmx = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(3a + ax + 3b + bx + 3c + cx) = 0Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing a to the left, all other terms to the right. Add '-1m' to each side of the equation. m + -1m = 0 + -1m Remove the zero: 0 = -1m Simplifying 0 = -1m 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 '(3a + ax + 3b + bx + 3c + cx)' equal to zero and attempt to solve: Simplifying 3a + ax + 3b + bx + 3c + cx = 0 Solving 3a + ax + 3b + bx + 3c + cx = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 3a + ax + 3b + bx + 3c + -3b + cx = 0 + -3b Reorder the terms: 3a + ax + 3b + -3b + bx + 3c + cx = 0 + -3b Combine like terms: 3b + -3b = 0 3a + ax + 0 + bx + 3c + cx = 0 + -3b 3a + ax + bx + 3c + cx = 0 + -3b Remove the zero: 3a + ax + bx + 3c + cx = -3b Add '-1bx' to each side of the equation. 3a + ax + bx + 3c + -1bx + cx = -3b + -1bx Reorder the terms: 3a + ax + bx + -1bx + 3c + cx = -3b + -1bx Combine like terms: bx + -1bx = 0 3a + ax + 0 + 3c + cx = -3b + -1bx 3a + ax + 3c + cx = -3b + -1bx Add '-3c' to each side of the equation. 3a + ax + 3c + -3c + cx = -3b + -1bx + -3c Combine like terms: 3c + -3c = 0 3a + ax + 0 + cx = -3b + -1bx + -3c 3a + ax + cx = -3b + -1bx + -3c Add '-1cx' to each side of the equation. 3a + ax + cx + -1cx = -3b + -1bx + -3c + -1cx Combine like terms: cx + -1cx = 0 3a + ax + 0 = -3b + -1bx + -3c + -1cx 3a + ax = -3b + -1bx + -3c + -1cx 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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