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Simplifying 3a + -5a(2a) = 0 Remove parenthesis around (2a) 3a + -5a * 2a = 0 Reorder the terms for easier multiplication: 3a + -5 * 2a * a = 0 Multiply -5 * 2 3a + -10a * a = 0 Multiply a * a 3a + -10a2 = 0 Solving 3a + -10a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(3 + -10a) = 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 '(3 + -10a)' equal to zero and attempt to solve: Simplifying 3 + -10a = 0 Solving 3 + -10a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -10a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -10a = 0 + -3 -10a = 0 + -3 Combine like terms: 0 + -3 = -3 -10a = -3 Divide each side by '-10'. a = 0.3 Simplifying a = 0.3Solution
a = {0, 0.3}
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