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Simplifying 0 = 4a2 + -7ab + -1a2 + -1ab Reorder the terms: 0 = -7ab + -1ab + 4a2 + -1a2 Combine like terms: -7ab + -1ab = -8ab 0 = -8ab + 4a2 + -1a2 Combine like terms: 4a2 + -1a2 = 3a2 0 = -8ab + 3a2 Solving 0 = -8ab + 3a2 Solving for variable 'a'. Remove the zero: 8ab + -3a2 = -8ab + 3a2 + 8ab + -3a2 Reorder the terms: 8ab + -3a2 = -8ab + 8ab + 3a2 + -3a2 Combine like terms: -8ab + 8ab = 0 8ab + -3a2 = 0 + 3a2 + -3a2 8ab + -3a2 = 3a2 + -3a2 Combine like terms: 3a2 + -3a2 = 0 8ab + -3a2 = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(8b + -3a) = 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 '(8b + -3a)' equal to zero and attempt to solve: Simplifying 8b + -3a = 0 Reorder the terms: -3a + 8b = 0 Solving -3a + 8b = 0 Move all terms containing a to the left, all other terms to the right. Add '-8b' to each side of the equation. -3a + 8b + -8b = 0 + -8b Combine like terms: 8b + -8b = 0 -3a + 0 = 0 + -8b -3a = 0 + -8b Remove the zero: -3a = -8b Divide each side by '-3'. a = 2.666666667b Simplifying a = 2.666666667bSolution
a = {0, 2.666666667b}
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