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Simplifying -2a(a + -2b + 5) = 0 Reorder the terms: -2a(5 + a + -2b) = 0 (5 * -2a + a * -2a + -2b * -2a) = 0 Reorder the terms: (-10a + 4ab + -2a2) = 0 (-10a + 4ab + -2a2) = 0 Solving -10a + 4ab + -2a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(-5 + 2b + -1a) = 0 Ignore the factor 2.Subproblem 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 '(-5 + 2b + -1a)' equal to zero and attempt to solve: Simplifying -5 + 2b + -1a = 0 Reorder the terms: -5 + -1a + 2b = 0 Solving -5 + -1a + 2b = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -1a + 5 + 2b = 0 + 5 Reorder the terms: -5 + 5 + -1a + 2b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1a + 2b = 0 + 5 -1a + 2b = 0 + 5 Combine like terms: 0 + 5 = 5 -1a + 2b = 5 Add '-2b' to each side of the equation. -1a + 2b + -2b = 5 + -2b Combine like terms: 2b + -2b = 0 -1a + 0 = 5 + -2b -1a = 5 + -2b Divide each side by '-1'. a = -5 + 2b Simplifying a = -5 + 2bSolution
a = {0, -5 + 2b}
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