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Simplifying x2 + 2x(4 + -3a) = 0 x2 + (4 * 2x + -3a * 2x) = 0 Reorder the terms: x2 + (-6ax + 8x) = 0 x2 + (-6ax + 8x) = 0 Reorder the terms: -6ax + 8x + x2 = 0 Solving -6ax + 8x + x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8x' to each side of the equation. -6ax + 8x + -8x + x2 = 0 + -8x Combine like terms: 8x + -8x = 0 -6ax + 0 + x2 = 0 + -8x -6ax + x2 = 0 + -8x Remove the zero: -6ax + x2 = -8x Add '-1x2' to each side of the equation. -6ax + x2 + -1x2 = -8x + -1x2 Combine like terms: x2 + -1x2 = 0 -6ax + 0 = -8x + -1x2 -6ax = -8x + -1x2 Divide each side by '-6x'. a = 1.333333333 + 0.1666666667x Simplifying a = 1.333333333 + 0.1666666667x
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