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Simplifying -2a2 + 2ab + -3b2 + a2 + 5ab + 3b2 = 0 Reorder the terms: 2ab + 5ab + -2a2 + a2 + -3b2 + 3b2 = 0 Combine like terms: 2ab + 5ab = 7ab 7ab + -2a2 + a2 + -3b2 + 3b2 = 0 Combine like terms: -2a2 + a2 = -1a2 7ab + -1a2 + -3b2 + 3b2 = 0 Combine like terms: -3b2 + 3b2 = 0 7ab + -1a2 + 0 = 0 7ab + -1a2 = 0 Solving 7ab + -1a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(7b + -1a) = 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 '(7b + -1a)' equal to zero and attempt to solve: Simplifying 7b + -1a = 0 Reorder the terms: -1a + 7b = 0 Solving -1a + 7b = 0 Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. -1a + 7b + -7b = 0 + -7b Combine like terms: 7b + -7b = 0 -1a + 0 = 0 + -7b -1a = 0 + -7b Remove the zero: -1a = -7b Divide each side by '-1'. a = 7b Simplifying a = 7bSolution
a = {0, 7b}
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