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Simplifying 12ax + 8a2 + -8x2 = 0 Solving 12ax + 8a2 + -8x2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4'. 4(3ax + 2a2 + -2x2) = 0 Factor a trinomial. 4((2a + -1x)(a + 2x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2a + -1x)' equal to zero and attempt to solve: Simplifying 2a + -1x = 0 Solving 2a + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add 'x' to each side of the equation. 2a + -1x + x = 0 + x Combine like terms: -1x + x = 0 2a + 0 = 0 + x 2a = 0 + x Remove the zero: 2a = x Divide each side by '2'. a = 0.5x Simplifying a = 0.5xSubproblem 2
Set the factor '(a + 2x)' equal to zero and attempt to solve: Simplifying a + 2x = 0 Solving a + 2x = 0 Move all terms containing a to the left, all other terms to the right. Add '-2x' to each side of the equation. a + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 a + 0 = 0 + -2x a = 0 + -2x Remove the zero: a = -2x Simplifying a = -2xSolution
a = {0.5x, -2x}
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