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Simplifying 3ab * 2cd = 4ac Reorder the terms for easier multiplication: 3 * 2ab * cd = 4ac Multiply 3 * 2 6ab * cd = 4ac Multiply ab * cd 6abcd = 4ac Solving 6abcd = 4ac Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4ac' to each side of the equation. 6abcd + -4ac = 4ac + -4ac Combine like terms: 4ac + -4ac = 0 6abcd + -4ac = 0 Factor out the Greatest Common Factor (GCF), '2ac'. 2ac(3bd + -2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'ac' equal to zero and attempt to solve: Simplifying ac = 0 Solving ac = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ac = 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 '(3bd + -2)' equal to zero and attempt to solve: Simplifying 3bd + -2 = 0 Reorder the terms: -2 + 3bd = 0 Solving -2 + 3bd = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3bd = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3bd = 0 + 2 3bd = 0 + 2 Combine like terms: 0 + 2 = 2 3bd = 2 Add '-3bd' to each side of the equation. 3bd + -3bd = 2 + -3bd Combine like terms: 3bd + -3bd = 0 0 = 2 + -3bd Simplifying 0 = 2 + -3bd 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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