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Simplifying 2x2 + -6x + -4ax + 12x = 0 Reorder the terms: -4ax + -6x + 12x + 2x2 = 0 Combine like terms: -6x + 12x = 6x -4ax + 6x + 2x2 = 0 Solving -4ax + 6x + 2x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6x' to each side of the equation. -4ax + 6x + -6x + 2x2 = 0 + -6x Combine like terms: 6x + -6x = 0 -4ax + 0 + 2x2 = 0 + -6x -4ax + 2x2 = 0 + -6x Remove the zero: -4ax + 2x2 = -6x Add '-2x2' to each side of the equation. -4ax + 2x2 + -2x2 = -6x + -2x2 Combine like terms: 2x2 + -2x2 = 0 -4ax + 0 = -6x + -2x2 -4ax = -6x + -2x2 Divide each side by '-4x'. a = 1.5 + 0.5x Simplifying a = 1.5 + 0.5x
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