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Simplifying 0 = 7ab(-2a + 3ab) 0 = (-2a * 7ab + 3ab * 7ab) 0 = (-14a2b + 21a2b2) Solving 0 = -14a2b + 21a2b2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14a2b' to each side of the equation. 0 + 14a2b = -14a2b + 14a2b + 21a2b2 Remove the zero: 14a2b = -14a2b + 14a2b + 21a2b2 Combine like terms: -14a2b + 14a2b = 0 14a2b = 0 + 21a2b2 14a2b = 21a2b2 Add '-21a2b2' to each side of the equation. 14a2b + -21a2b2 = 21a2b2 + -21a2b2 Combine like terms: 21a2b2 + -21a2b2 = 0 14a2b + -21a2b2 = 0 Factor out the Greatest Common Factor (GCF), '7a2b'. 7a2b(2 + -3b) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'a2b' equal to zero and attempt to solve: Simplifying a2b = 0 Solving a2b = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b = 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 '(2 + -3b)' equal to zero and attempt to solve: Simplifying 2 + -3b = 0 Solving 2 + -3b = 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 + -3b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3b = 0 + -2 -3b = 0 + -2 Combine like terms: 0 + -2 = -2 -3b = -2 Add '3b' to each side of the equation. -3b + 3b = -2 + 3b Combine like terms: -3b + 3b = 0 0 = -2 + 3b Simplifying 0 = -2 + 3b 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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