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Simplifying 2(3x2 + -4x + 5) + -1(7x2 + -3x + 1) + (x2 + -9) = 0 Reorder the terms: 2(5 + -4x + 3x2) + -1(7x2 + -3x + 1) + (x2 + -9) = 0 (5 * 2 + -4x * 2 + 3x2 * 2) + -1(7x2 + -3x + 1) + (x2 + -9) = 0 (10 + -8x + 6x2) + -1(7x2 + -3x + 1) + (x2 + -9) = 0 Reorder the terms: 10 + -8x + 6x2 + -1(1 + -3x + 7x2) + (x2 + -9) = 0 10 + -8x + 6x2 + (1 * -1 + -3x * -1 + 7x2 * -1) + (x2 + -9) = 0 10 + -8x + 6x2 + (-1 + 3x + -7x2) + (x2 + -9) = 0 Reorder the terms: 10 + -8x + 6x2 + -1 + 3x + -7x2 + (-9 + x2) = 0 Remove parenthesis around (-9 + x2) 10 + -8x + 6x2 + -1 + 3x + -7x2 + -9 + x2 = 0 Reorder the terms: 10 + -1 + -9 + -8x + 3x + 6x2 + -7x2 + x2 = 0 Combine like terms: 10 + -1 = 9 9 + -9 + -8x + 3x + 6x2 + -7x2 + x2 = 0 Combine like terms: 9 + -9 = 0 0 + -8x + 3x + 6x2 + -7x2 + x2 = 0 -8x + 3x + 6x2 + -7x2 + x2 = 0 Combine like terms: -8x + 3x = -5x -5x + 6x2 + -7x2 + x2 = 0 Combine like terms: 6x2 + -7x2 = -1x2 -5x + -1x2 + x2 = 0 Combine like terms: -1x2 + x2 = 0 -5x + 0 = 0 -5x = 0 Solving -5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-5'. x = 0 Simplifying x = 0
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