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Simplifying (6x2 + 20x + 6) + -1(6x2 + -3x + -3) = 0 Reorder the terms: (6 + 20x + 6x2) + -1(6x2 + -3x + -3) = 0 Remove parenthesis around (6 + 20x + 6x2) 6 + 20x + 6x2 + -1(6x2 + -3x + -3) = 0 Reorder the terms: 6 + 20x + 6x2 + -1(-3 + -3x + 6x2) = 0 6 + 20x + 6x2 + (-3 * -1 + -3x * -1 + 6x2 * -1) = 0 6 + 20x + 6x2 + (3 + 3x + -6x2) = 0 Reorder the terms: 6 + 3 + 20x + 3x + 6x2 + -6x2 = 0 Combine like terms: 6 + 3 = 9 9 + 20x + 3x + 6x2 + -6x2 = 0 Combine like terms: 20x + 3x = 23x 9 + 23x + 6x2 + -6x2 = 0 Combine like terms: 6x2 + -6x2 = 0 9 + 23x + 0 = 0 9 + 23x = 0 Solving 9 + 23x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 23x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 23x = 0 + -9 23x = 0 + -9 Combine like terms: 0 + -9 = -9 23x = -9 Divide each side by '23'. x = -0.3913043478 Simplifying x = -0.3913043478
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