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Simplifying a * 2 + -1a(3a + y) = 0 Reorder the terms for easier multiplication: 2a + -1a(3a + y) = 0 2a + (3a * -1a + y * -1a) = 0 Reorder the terms: 2a + (-1ay + -3a2) = 0 2a + (-1ay + -3a2) = 0 Solving 2a + -1ay + -3a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(2 + -1y + -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 '(2 + -1y + -3a)' equal to zero and attempt to solve: Simplifying 2 + -1y + -3a = 0 Reorder the terms: 2 + -3a + -1y = 0 Solving 2 + -3a + -1y = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -3a + -2 + -1y = 0 + -2 Reorder the terms: 2 + -2 + -3a + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3a + -1y = 0 + -2 -3a + -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -3a + -1y = -2 Add 'y' to each side of the equation. -3a + -1y + y = -2 + y Combine like terms: -1y + y = 0 -3a + 0 = -2 + y -3a = -2 + y Divide each side by '-3'. a = 0.6666666667 + -0.3333333333y Simplifying a = 0.6666666667 + -0.3333333333ySolution
a = {0, 0.6666666667 + -0.3333333333y}
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