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Simplifying (2x2 + 9x + -1) + (3x2 + 6x + 18) + -1(5x2 + -12) = 0 Reorder the terms: (-1 + 9x + 2x2) + (3x2 + 6x + 18) + -1(5x2 + -12) = 0 Remove parenthesis around (-1 + 9x + 2x2) -1 + 9x + 2x2 + (3x2 + 6x + 18) + -1(5x2 + -12) = 0 Reorder the terms: -1 + 9x + 2x2 + (18 + 6x + 3x2) + -1(5x2 + -12) = 0 Remove parenthesis around (18 + 6x + 3x2) -1 + 9x + 2x2 + 18 + 6x + 3x2 + -1(5x2 + -12) = 0 Reorder the terms: -1 + 9x + 2x2 + 18 + 6x + 3x2 + -1(-12 + 5x2) = 0 -1 + 9x + 2x2 + 18 + 6x + 3x2 + (-12 * -1 + 5x2 * -1) = 0 -1 + 9x + 2x2 + 18 + 6x + 3x2 + (12 + -5x2) = 0 Reorder the terms: -1 + 18 + 12 + 9x + 6x + 2x2 + 3x2 + -5x2 = 0 Combine like terms: -1 + 18 = 17 17 + 12 + 9x + 6x + 2x2 + 3x2 + -5x2 = 0 Combine like terms: 17 + 12 = 29 29 + 9x + 6x + 2x2 + 3x2 + -5x2 = 0 Combine like terms: 9x + 6x = 15x 29 + 15x + 2x2 + 3x2 + -5x2 = 0 Combine like terms: 2x2 + 3x2 = 5x2 29 + 15x + 5x2 + -5x2 = 0 Combine like terms: 5x2 + -5x2 = 0 29 + 15x + 0 = 0 29 + 15x = 0 Solving 29 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 15x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 15x = 0 + -29 15x = 0 + -29 Combine like terms: 0 + -29 = -29 15x = -29 Divide each side by '15'. x = -1.933333333 Simplifying x = -1.933333333
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