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Simplifying 5xa + -7a2 = 2a2 + 2ax Reorder the terms: 5ax + -7a2 = 2ax + 2a2 Solving 5ax + -7a2 = 2ax + 2a2 Solving for variable 'a'. Reorder the terms: 5ax + -2ax + -7a2 + -2a2 = 2ax + 2a2 + -2ax + -2a2 Combine like terms: 5ax + -2ax = 3ax 3ax + -7a2 + -2a2 = 2ax + 2a2 + -2ax + -2a2 Combine like terms: -7a2 + -2a2 = -9a2 3ax + -9a2 = 2ax + 2a2 + -2ax + -2a2 Reorder the terms: 3ax + -9a2 = 2ax + -2ax + 2a2 + -2a2 Combine like terms: 2ax + -2ax = 0 3ax + -9a2 = 0 + 2a2 + -2a2 3ax + -9a2 = 2a2 + -2a2 Combine like terms: 2a2 + -2a2 = 0 3ax + -9a2 = 0 Factor out the Greatest Common Factor (GCF), '3a'. 3a(x + -3a) = 0 Ignore the factor 3.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 '(x + -3a)' equal to zero and attempt to solve: Simplifying x + -3a = 0 Reorder the terms: -3a + x = 0 Solving -3a + x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. -3a + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 -3a + 0 = 0 + -1x -3a = 0 + -1x Remove the zero: -3a = -1x Divide each side by '-3'. a = 0.3333333333x Simplifying a = 0.3333333333xSolution
a = {0, 0.3333333333x}
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