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Simplifying a2 + -1ax + 3ax + 6a2 + -1ax + 3a2 = 0 Reorder the terms: -1ax + 3ax + -1ax + a2 + 6a2 + 3a2 = 0 Combine like terms: -1ax + 3ax = 2ax 2ax + -1ax + a2 + 6a2 + 3a2 = 0 Combine like terms: 2ax + -1ax = 1ax 1ax + a2 + 6a2 + 3a2 = 0 Combine like terms: a2 + 6a2 = 7a2 1ax + 7a2 + 3a2 = 0 Combine like terms: 7a2 + 3a2 = 10a2 1ax + 10a2 = 0 Solving 1ax + 10a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(x + 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 '(x + 10a)' equal to zero and attempt to solve: Simplifying x + 10a = 0 Reorder the terms: 10a + x = 0 Solving 10a + x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. 10a + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 10a + 0 = 0 + -1x 10a = 0 + -1x Remove the zero: 10a = -1x Divide each side by '10'. a = -0.1x Simplifying a = -0.1xSolution
a = {0, -0.1x}
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