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Simplifying 4[2a + -4a(2a + 5b) + 8a2] = 0 4[2a + (2a * -4a + 5b * -4a) + 8a2] = 0 Reorder the terms: 4[2a + (-20ab + -8a2) + 8a2] = 0 4[2a + (-20ab + -8a2) + 8a2] = 0 Combine like terms: -8a2 + 8a2 = 0 4[2a + -20ab + 0] = 0 4[2a + -20ab] = 0 [2a * 4 + -20ab * 4] = 0 [8a + -80ab] = 0 Solving 8a + -80ab = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '8a'. 8a(1 + -10b) = 0 Ignore the factor 8.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 '(1 + -10b)' equal to zero and attempt to solve: Simplifying 1 + -10b = 0 Solving 1 + -10b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -10b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -10b = 0 + -1 -10b = 0 + -1 Combine like terms: 0 + -1 = -1 -10b = -1 Add '10b' to each side of the equation. -10b + 10b = -1 + 10b Combine like terms: -10b + 10b = 0 0 = -1 + 10b Simplifying 0 = -1 + 10b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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