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Simplifying 12a + 9b2a + -13a2b2 + 4ab2 + -16a = 0 Reorder the terms: 12a + -16a + 9ab2 + 4ab2 + -13a2b2 = 0 Combine like terms: 12a + -16a = -4a -4a + 9ab2 + 4ab2 + -13a2b2 = 0 Combine like terms: 9ab2 + 4ab2 = 13ab2 -4a + 13ab2 + -13a2b2 = 0 Solving -4a + 13ab2 + -13a2b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-4 + 13b2 + -13ab2) = 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 '(-4 + 13b2 + -13ab2)' equal to zero and attempt to solve: Simplifying -4 + 13b2 + -13ab2 = 0 Reorder the terms: -4 + -13ab2 + 13b2 = 0 Solving -4 + -13ab2 + 13b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -13ab2 + 4 + 13b2 = 0 + 4 Reorder the terms: -4 + 4 + -13ab2 + 13b2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -13ab2 + 13b2 = 0 + 4 -13ab2 + 13b2 = 0 + 4 Combine like terms: 0 + 4 = 4 -13ab2 + 13b2 = 4 Add '-13b2' to each side of the equation. -13ab2 + 13b2 + -13b2 = 4 + -13b2 Combine like terms: 13b2 + -13b2 = 0 -13ab2 + 0 = 4 + -13b2 -13ab2 = 4 + -13b2 Divide each side by '-13b2'. a = -0.3076923077b-2 + 1 Simplifying a = -0.3076923077b-2 + 1 Reorder the terms: a = 1 + -0.3076923077b-2Solution
a = {0, 1 + -0.3076923077b-2}
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