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Simplifying (a2 + -6)(3x + -4) = 0 Reorder the terms: (-6 + a2)(3x + -4) = 0 Reorder the terms: (-6 + a2)(-4 + 3x) = 0 Multiply (-6 + a2) * (-4 + 3x) (-6(-4 + 3x) + a2(-4 + 3x)) = 0 ((-4 * -6 + 3x * -6) + a2(-4 + 3x)) = 0 ((24 + -18x) + a2(-4 + 3x)) = 0 (24 + -18x + (-4 * a2 + 3x * a2)) = 0 (24 + -18x + (-4a2 + 3a2x)) = 0 Reorder the terms: (24 + -4a2 + 3a2x + -18x) = 0 (24 + -4a2 + 3a2x + -18x) = 0 Solving 24 + -4a2 + 3a2x + -18x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -4a2 + 3a2x + -24 + -18x = 0 + -24 Reorder the terms: 24 + -24 + -4a2 + 3a2x + -18x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -4a2 + 3a2x + -18x = 0 + -24 -4a2 + 3a2x + -18x = 0 + -24 Combine like terms: 0 + -24 = -24 -4a2 + 3a2x + -18x = -24 Add '18x' to each side of the equation. -4a2 + 3a2x + -18x + 18x = -24 + 18x Combine like terms: -18x + 18x = 0 -4a2 + 3a2x + 0 = -24 + 18x -4a2 + 3a2x = -24 + 18x Reorder the terms: 24 + -4a2 + 3a2x + -18x = -24 + 18x + 24 + -18x Reorder the terms: 24 + -4a2 + 3a2x + -18x = -24 + 24 + 18x + -18x Combine like terms: -24 + 24 = 0 24 + -4a2 + 3a2x + -18x = 0 + 18x + -18x 24 + -4a2 + 3a2x + -18x = 18x + -18x Combine like terms: 18x + -18x = 0 24 + -4a2 + 3a2x + -18x = 0 The solution to this equation could not be determined.
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