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Simplifying x2(a + b) + -1x + 3x = 0 (a * x2 + b * x2) + -1x + 3x = 0 (ax2 + bx2) + -1x + 3x = 0 Combine like terms: -1x + 3x = 2x ax2 + bx2 + 2x = 0 Solving ax2 + bx2 + 2x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1bx2' to each side of the equation. ax2 + bx2 + -1bx2 + 2x = 0 + -1bx2 Combine like terms: bx2 + -1bx2 = 0 ax2 + 0 + 2x = 0 + -1bx2 ax2 + 2x = 0 + -1bx2 Remove the zero: ax2 + 2x = -1bx2 Add '-2x' to each side of the equation. ax2 + 2x + -2x = -1bx2 + -2x Combine like terms: 2x + -2x = 0 ax2 + 0 = -1bx2 + -2x ax2 = -1bx2 + -2x Divide each side by 'x2'. a = -1b + -2x-1 Simplifying a = -1b + -2x-1
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