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Simplifying (3a + -2b) * x(-2ab) = 0 Remove parenthesis around (-2ab) (3a + -2b) * x * -2ab = 0 Reorder the terms for easier multiplication: -2x * ab(3a + -2b) = 0 Multiply x * ab -2abx(3a + -2b) = 0 (3a * -2abx + -2b * -2abx) = 0 Reorder the terms: (4ab2x + -6a2bx) = 0 (4ab2x + -6a2bx) = 0 Solving 4ab2x + -6a2bx = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2abx'. 2abx(2b + -3a) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'abx' equal to zero and attempt to solve: Simplifying abx = 0 Solving abx = 0 Move all terms containing a to the left, all other terms to the right. Simplifying abx = 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 '(2b + -3a)' equal to zero and attempt to solve: Simplifying 2b + -3a = 0 Reorder the terms: -3a + 2b = 0 Solving -3a + 2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. -3a + 2b + -2b = 0 + -2b Combine like terms: 2b + -2b = 0 -3a + 0 = 0 + -2b -3a = 0 + -2b Remove the zero: -3a = -2b Divide each side by '-3'. a = 0.6666666667b Simplifying a = 0.6666666667bSolution
a = {0.6666666667b}
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