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Simplifying 3x2 = 6ax Solving 3x2 = 6ax Solving for variable 'x'. Reorder the terms: -6ax + 3x2 = 6ax + -6ax Combine like terms: 6ax + -6ax = 0 -6ax + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-2a + x) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-2a + x)' equal to zero and attempt to solve: Simplifying -2a + x = 0 Solving -2a + x = 0 Move all terms containing x to the left, all other terms to the right. Add '2a' to each side of the equation. -2a + 2a + x = 0 + 2a Combine like terms: -2a + 2a = 0 0 + x = 0 + 2a x = 0 + 2a Remove the zero: x = 2a Simplifying x = 2aSolution
x = {0, 2a}
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