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Simplifying 2a(3a + -46) + -5a(a + -26) = 0 Reorder the terms: 2a(-46 + 3a) + -5a(a + -26) = 0 (-46 * 2a + 3a * 2a) + -5a(a + -26) = 0 (-92a + 6a2) + -5a(a + -26) = 0 Reorder the terms: -92a + 6a2 + -5a(-26 + a) = 0 -92a + 6a2 + (-26 * -5a + a * -5a) = 0 -92a + 6a2 + (130a + -5a2) = 0 Reorder the terms: -92a + 130a + 6a2 + -5a2 = 0 Combine like terms: -92a + 130a = 38a 38a + 6a2 + -5a2 = 0 Combine like terms: 6a2 + -5a2 = 1a2 38a + 1a2 = 0 Solving 38a + 1a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(38 + a) = 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 '(38 + a)' equal to zero and attempt to solve: Simplifying 38 + a = 0 Solving 38 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + a = 0 + -38 Combine like terms: 38 + -38 = 0 0 + a = 0 + -38 a = 0 + -38 Combine like terms: 0 + -38 = -38 a = -38 Simplifying a = -38Solution
a = {0, -38}
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