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Simplifying 6[2a + -2a(2a + 5b)] = 0 6[2a + (2a * -2a + 5b * -2a)] = 0 Reorder the terms: 6[2a + (-10ab + -4a2)] = 0 6[2a + (-10ab + -4a2)] = 0 [2a * 6 + -10ab * 6 + -4a2 * 6] = 0 [12a + -60ab + -24a2] = 0 Solving 12a + -60ab + -24a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '12a'. 12a(1 + -5b + -2a) = 0 Ignore the factor 12.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 + -5b + -2a)' equal to zero and attempt to solve: Simplifying 1 + -5b + -2a = 0 Reorder the terms: 1 + -2a + -5b = 0 Solving 1 + -2a + -5b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2a + -1 + -5b = 0 + -1 Reorder the terms: 1 + -1 + -2a + -5b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2a + -5b = 0 + -1 -2a + -5b = 0 + -1 Combine like terms: 0 + -1 = -1 -2a + -5b = -1 Add '5b' to each side of the equation. -2a + -5b + 5b = -1 + 5b Combine like terms: -5b + 5b = 0 -2a + 0 = -1 + 5b -2a = -1 + 5b Divide each side by '-2'. a = 0.5 + -2.5b Simplifying a = 0.5 + -2.5bSolution
a = {0, 0.5 + -2.5b}
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