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Simplifying 6a2 + -50ab + 16ab2 = 0 Reorder the terms: -50ab + 16ab2 + 6a2 = 0 Solving -50ab + 16ab2 + 6a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(-25b + 8b2 + 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 '(-25b + 8b2 + 3a)' equal to zero and attempt to solve: Simplifying -25b + 8b2 + 3a = 0 Reorder the terms: 3a + -25b + 8b2 = 0 Solving 3a + -25b + 8b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '25b' to each side of the equation. 3a + -25b + 25b + 8b2 = 0 + 25b Combine like terms: -25b + 25b = 0 3a + 0 + 8b2 = 0 + 25b 3a + 8b2 = 0 + 25b Remove the zero: 3a + 8b2 = 25b Add '-8b2' to each side of the equation. 3a + 8b2 + -8b2 = 25b + -8b2 Combine like terms: 8b2 + -8b2 = 0 3a + 0 = 25b + -8b2 3a = 25b + -8b2 Divide each side by '3'. a = 8.333333333b + -2.666666667b2 Simplifying a = 8.333333333b + -2.666666667b2Solution
a = {0, 8.333333333b + -2.666666667b2}
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