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Simplifying y2 + -1a2 = a2 + y2 + -1a(a + b) Reorder the terms: -1a2 + y2 = a2 + y2 + -1a(a + b) -1a2 + y2 = a2 + y2 + (a * -1a + b * -1a) Reorder the terms: -1a2 + y2 = a2 + y2 + (-1ab + -1a2) -1a2 + y2 = a2 + y2 + (-1ab + -1a2) Reorder the terms: -1a2 + y2 = -1ab + a2 + -1a2 + y2 Combine like terms: a2 + -1a2 = 0 -1a2 + y2 = -1ab + 0 + y2 -1a2 + y2 = -1ab + y2 Add '-1y2' to each side of the equation. -1a2 + y2 + -1y2 = -1ab + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -1a2 + 0 = -1ab + y2 + -1y2 -1a2 = -1ab + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -1a2 = -1ab + 0 -1a2 = -1ab Solving -1a2 = -1ab Solving for variable 'a'. Reorder the terms: ab + -1a2 = -1ab + ab Combine like terms: -1ab + ab = 0 ab + -1a2 = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(b + -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 '(b + -1a)' equal to zero and attempt to solve: Simplifying b + -1a = 0 Reorder the terms: -1a + b = 0 Solving -1a + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. -1a + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 -1a + 0 = 0 + -1b -1a = 0 + -1b Remove the zero: -1a = -1b Divide each side by '-1'. a = b Simplifying a = bSolution
a = {0, b}
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