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Simplifying (5x2 + 9x + -1) + (4x2 + 4x + 10) + -1(9x2 + -12) = 0 Reorder the terms: (-1 + 9x + 5x2) + (4x2 + 4x + 10) + -1(9x2 + -12) = 0 Remove parenthesis around (-1 + 9x + 5x2) -1 + 9x + 5x2 + (4x2 + 4x + 10) + -1(9x2 + -12) = 0 Reorder the terms: -1 + 9x + 5x2 + (10 + 4x + 4x2) + -1(9x2 + -12) = 0 Remove parenthesis around (10 + 4x + 4x2) -1 + 9x + 5x2 + 10 + 4x + 4x2 + -1(9x2 + -12) = 0 Reorder the terms: -1 + 9x + 5x2 + 10 + 4x + 4x2 + -1(-12 + 9x2) = 0 -1 + 9x + 5x2 + 10 + 4x + 4x2 + (-12 * -1 + 9x2 * -1) = 0 -1 + 9x + 5x2 + 10 + 4x + 4x2 + (12 + -9x2) = 0 Reorder the terms: -1 + 10 + 12 + 9x + 4x + 5x2 + 4x2 + -9x2 = 0 Combine like terms: -1 + 10 = 9 9 + 12 + 9x + 4x + 5x2 + 4x2 + -9x2 = 0 Combine like terms: 9 + 12 = 21 21 + 9x + 4x + 5x2 + 4x2 + -9x2 = 0 Combine like terms: 9x + 4x = 13x 21 + 13x + 5x2 + 4x2 + -9x2 = 0 Combine like terms: 5x2 + 4x2 = 9x2 21 + 13x + 9x2 + -9x2 = 0 Combine like terms: 9x2 + -9x2 = 0 21 + 13x + 0 = 0 21 + 13x = 0 Solving 21 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 13x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 13x = 0 + -21 13x = 0 + -21 Combine like terms: 0 + -21 = -21 13x = -21 Divide each side by '13'. x = -1.615384615 Simplifying x = -1.615384615
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