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Simplifying 2a2b3(4a2 + 3ab2 + -1ab) = 0 Reorder the terms: 2a2b3(-1ab + 3ab2 + 4a2) = 0 (-1ab * 2a2b3 + 3ab2 * 2a2b3 + 4a2 * 2a2b3) = 0 (-2a3b4 + 6a3b5 + 8a4b3) = 0 Solving -2a3b4 + 6a3b5 + 8a4b3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a3b3'. 2a3b3(-1b + 3b2 + 4a) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'a3b3' equal to zero and attempt to solve: Simplifying a3b3 = 0 Solving a3b3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3b3 = 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 '(-1b + 3b2 + 4a)' equal to zero and attempt to solve: Simplifying -1b + 3b2 + 4a = 0 Reorder the terms: 4a + -1b + 3b2 = 0 Solving 4a + -1b + 3b2 = 0 Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. 4a + -1b + b + 3b2 = 0 + b Combine like terms: -1b + b = 0 4a + 0 + 3b2 = 0 + b 4a + 3b2 = 0 + b Remove the zero: 4a + 3b2 = b Add '-3b2' to each side of the equation. 4a + 3b2 + -3b2 = b + -3b2 Combine like terms: 3b2 + -3b2 = 0 4a + 0 = b + -3b2 4a = b + -3b2 Divide each side by '4'. a = 0.25b + -0.75b2 Simplifying a = 0.25b + -0.75b2Solution
a = {0.25b + -0.75b2}
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