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Simplifying x2 + 2(a + -3) * x + 9 = 0 Reorder the terms: x2 + 2(-3 + a) * x + 9 = 0 Reorder the terms for easier multiplication: x2 + 2x(-3 + a) + 9 = 0 x2 + (-3 * 2x + a * 2x) + 9 = 0 Reorder the terms: x2 + (2ax + -6x) + 9 = 0 x2 + (2ax + -6x) + 9 = 0 Reorder the terms: 9 + 2ax + -6x + x2 = 0 Solving 9 + 2ax + -6x + x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 2ax + -6x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + 2ax + -6x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2ax + -6x + x2 = 0 + -9 2ax + -6x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 2ax + -6x + x2 = -9 Add '6x' to each side of the equation. 2ax + -6x + 6x + x2 = -9 + 6x Combine like terms: -6x + 6x = 0 2ax + 0 + x2 = -9 + 6x 2ax + x2 = -9 + 6x Add '-1x2' to each side of the equation. 2ax + x2 + -1x2 = -9 + 6x + -1x2 Combine like terms: x2 + -1x2 = 0 2ax + 0 = -9 + 6x + -1x2 2ax = -9 + 6x + -1x2 Divide each side by '2x'. a = -4.5x-1 + 3 + -0.5x Simplifying a = -4.5x-1 + 3 + -0.5x Reorder the terms: a = 3 + -4.5x-1 + -0.5x
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