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Simplifying 16a2 + -56ab + 49ab2 = 0 Reorder the terms: -56ab + 49ab2 + 16a2 = 0 Solving -56ab + 49ab2 + 16a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-56b + 49b2 + 16a) = 0Subproblem 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 '(-56b + 49b2 + 16a)' equal to zero and attempt to solve: Simplifying -56b + 49b2 + 16a = 0 Reorder the terms: 16a + -56b + 49b2 = 0 Solving 16a + -56b + 49b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '56b' to each side of the equation. 16a + -56b + 56b + 49b2 = 0 + 56b Combine like terms: -56b + 56b = 0 16a + 0 + 49b2 = 0 + 56b 16a + 49b2 = 0 + 56b Remove the zero: 16a + 49b2 = 56b Add '-49b2' to each side of the equation. 16a + 49b2 + -49b2 = 56b + -49b2 Combine like terms: 49b2 + -49b2 = 0 16a + 0 = 56b + -49b2 16a = 56b + -49b2 Divide each side by '16'. a = 3.5b + -3.0625b2 Simplifying a = 3.5b + -3.0625b2Solution
a = {0, 3.5b + -3.0625b2}
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