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Simplifying (2x2 + 5x + -5) + (4x2 + 9x + 12) + -1(6x2 + -15) = 0 Reorder the terms: (-5 + 5x + 2x2) + (4x2 + 9x + 12) + -1(6x2 + -15) = 0 Remove parenthesis around (-5 + 5x + 2x2) -5 + 5x + 2x2 + (4x2 + 9x + 12) + -1(6x2 + -15) = 0 Reorder the terms: -5 + 5x + 2x2 + (12 + 9x + 4x2) + -1(6x2 + -15) = 0 Remove parenthesis around (12 + 9x + 4x2) -5 + 5x + 2x2 + 12 + 9x + 4x2 + -1(6x2 + -15) = 0 Reorder the terms: -5 + 5x + 2x2 + 12 + 9x + 4x2 + -1(-15 + 6x2) = 0 -5 + 5x + 2x2 + 12 + 9x + 4x2 + (-15 * -1 + 6x2 * -1) = 0 -5 + 5x + 2x2 + 12 + 9x + 4x2 + (15 + -6x2) = 0 Reorder the terms: -5 + 12 + 15 + 5x + 9x + 2x2 + 4x2 + -6x2 = 0 Combine like terms: -5 + 12 = 7 7 + 15 + 5x + 9x + 2x2 + 4x2 + -6x2 = 0 Combine like terms: 7 + 15 = 22 22 + 5x + 9x + 2x2 + 4x2 + -6x2 = 0 Combine like terms: 5x + 9x = 14x 22 + 14x + 2x2 + 4x2 + -6x2 = 0 Combine like terms: 2x2 + 4x2 = 6x2 22 + 14x + 6x2 + -6x2 = 0 Combine like terms: 6x2 + -6x2 = 0 22 + 14x + 0 = 0 22 + 14x = 0 Solving 22 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 14x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 14x = 0 + -22 14x = 0 + -22 Combine like terms: 0 + -22 = -22 14x = -22 Divide each side by '14'. x = -1.571428571 Simplifying x = -1.571428571
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