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Simplifying (3x2 + 3x + -4) + (2x2 + 8x + 19) + -1(5x2 + -10) = 0 Reorder the terms: (-4 + 3x + 3x2) + (2x2 + 8x + 19) + -1(5x2 + -10) = 0 Remove parenthesis around (-4 + 3x + 3x2) -4 + 3x + 3x2 + (2x2 + 8x + 19) + -1(5x2 + -10) = 0 Reorder the terms: -4 + 3x + 3x2 + (19 + 8x + 2x2) + -1(5x2 + -10) = 0 Remove parenthesis around (19 + 8x + 2x2) -4 + 3x + 3x2 + 19 + 8x + 2x2 + -1(5x2 + -10) = 0 Reorder the terms: -4 + 3x + 3x2 + 19 + 8x + 2x2 + -1(-10 + 5x2) = 0 -4 + 3x + 3x2 + 19 + 8x + 2x2 + (-10 * -1 + 5x2 * -1) = 0 -4 + 3x + 3x2 + 19 + 8x + 2x2 + (10 + -5x2) = 0 Reorder the terms: -4 + 19 + 10 + 3x + 8x + 3x2 + 2x2 + -5x2 = 0 Combine like terms: -4 + 19 = 15 15 + 10 + 3x + 8x + 3x2 + 2x2 + -5x2 = 0 Combine like terms: 15 + 10 = 25 25 + 3x + 8x + 3x2 + 2x2 + -5x2 = 0 Combine like terms: 3x + 8x = 11x 25 + 11x + 3x2 + 2x2 + -5x2 = 0 Combine like terms: 3x2 + 2x2 = 5x2 25 + 11x + 5x2 + -5x2 = 0 Combine like terms: 5x2 + -5x2 = 0 25 + 11x + 0 = 0 25 + 11x = 0 Solving 25 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 11x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 11x = 0 + -25 11x = 0 + -25 Combine like terms: 0 + -25 = -25 11x = -25 Divide each side by '11'. x = -2.272727273 Simplifying x = -2.272727273
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