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Simplifying 4ax3 + 3x2 + -6x + 4 = 0 Reorder the terms: 4 + 4ax3 + -6x + 3x2 = 0 Solving 4 + 4ax3 + -6x + 3x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 4ax3 + -6x + -4 + 3x2 = 0 + -4 Reorder the terms: 4 + -4 + 4ax3 + -6x + 3x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 4ax3 + -6x + 3x2 = 0 + -4 4ax3 + -6x + 3x2 = 0 + -4 Combine like terms: 0 + -4 = -4 4ax3 + -6x + 3x2 = -4 Add '6x' to each side of the equation. 4ax3 + -6x + 6x + 3x2 = -4 + 6x Combine like terms: -6x + 6x = 0 4ax3 + 0 + 3x2 = -4 + 6x 4ax3 + 3x2 = -4 + 6x Add '-3x2' to each side of the equation. 4ax3 + 3x2 + -3x2 = -4 + 6x + -3x2 Combine like terms: 3x2 + -3x2 = 0 4ax3 + 0 = -4 + 6x + -3x2 4ax3 = -4 + 6x + -3x2 Divide each side by '4x3'. a = -1x-3 + 1.5x-2 + -0.75x-1 Simplifying a = -1x-3 + 1.5x-2 + -0.75x-1
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