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Simplifying 4ab + 6a2 + -10ab2 = 0 Reorder the terms: 4ab + -10ab2 + 6a2 = 0 Solving 4ab + -10ab2 + 6a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(2b + -5b2 + 3a) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(2b + -5b2 + 3a)' equal to zero and attempt to solve: Simplifying 2b + -5b2 + 3a = 0 Reorder the terms: 3a + 2b + -5b2 = 0 Solving 3a + 2b + -5b2 = 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 + -5b2 = 0 + -2b Combine like terms: 2b + -2b = 0 3a + 0 + -5b2 = 0 + -2b 3a + -5b2 = 0 + -2b Remove the zero: 3a + -5b2 = -2b Add '5b2' to each side of the equation. 3a + -5b2 + 5b2 = -2b + 5b2 Combine like terms: -5b2 + 5b2 = 0 3a + 0 = -2b + 5b2 3a = -2b + 5b2 Divide each side by '3'. a = -0.6666666667b + 1.666666667b2 Simplifying a = -0.6666666667b + 1.666666667b2Solution
a = {0, -0.6666666667b + 1.666666667b2}
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