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Simplifying (2a + -3) * x2 + -2x + 3 = 0 Reorder the terms: (-3 + 2a) * x2 + -2x + 3 = 0 Reorder the terms for easier multiplication: x2(-3 + 2a) + -2x + 3 = 0 (-3 * x2 + 2a * x2) + -2x + 3 = 0 Reorder the terms: (2ax2 + -3x2) + -2x + 3 = 0 (2ax2 + -3x2) + -2x + 3 = 0 Reorder the terms: 3 + 2ax2 + -2x + -3x2 = 0 Solving 3 + 2ax2 + -2x + -3x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2ax2 + -2x + -3 + -3x2 = 0 + -3 Reorder the terms: 3 + -3 + 2ax2 + -2x + -3x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2ax2 + -2x + -3x2 = 0 + -3 2ax2 + -2x + -3x2 = 0 + -3 Combine like terms: 0 + -3 = -3 2ax2 + -2x + -3x2 = -3 Add '2x' to each side of the equation. 2ax2 + -2x + 2x + -3x2 = -3 + 2x Combine like terms: -2x + 2x = 0 2ax2 + 0 + -3x2 = -3 + 2x 2ax2 + -3x2 = -3 + 2x Add '3x2' to each side of the equation. 2ax2 + -3x2 + 3x2 = -3 + 2x + 3x2 Combine like terms: -3x2 + 3x2 = 0 2ax2 + 0 = -3 + 2x + 3x2 2ax2 = -3 + 2x + 3x2 Divide each side by '2x2'. a = -1.5x-2 + x-1 + 1.5 Simplifying a = -1.5x-2 + x-1 + 1.5 Reorder the terms: a = 1.5 + -1.5x-2 + x-1
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