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Simplifying -3a(2ab + 7b) = 0 (2ab * -3a + 7b * -3a) = 0 Reorder the terms: (-21ab + -6a2b) = 0 (-21ab + -6a2b) = 0 Solving -21ab + -6a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-3ab'. -3ab(7 + 2a) = 0 Ignore the factor -3.Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve: Simplifying ab = 0 Solving ab = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab = 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 '(7 + 2a)' equal to zero and attempt to solve: Simplifying 7 + 2a = 0 Solving 7 + 2a = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2a = 0 + -7 2a = 0 + -7 Combine like terms: 0 + -7 = -7 2a = -7 Divide each side by '2'. a = -3.5 Simplifying a = -3.5Solution
a = {-3.5}
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