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Simplifying (-1x2 + 6X) + (3x2 + 7) + (5x + -2) = 0 Reorder the terms: (6X + -1x2) + (3x2 + 7) + (5x + -2) = 0 Remove parenthesis around (6X + -1x2) 6X + -1x2 + (3x2 + 7) + (5x + -2) = 0 Reorder the terms: 6X + -1x2 + (7 + 3x2) + (5x + -2) = 0 Remove parenthesis around (7 + 3x2) 6X + -1x2 + 7 + 3x2 + (5x + -2) = 0 Reorder the terms: 6X + -1x2 + 7 + 3x2 + (-2 + 5x) = 0 Remove parenthesis around (-2 + 5x) 6X + -1x2 + 7 + 3x2 + -2 + 5x = 0 Reorder the terms: 7 + -2 + 6X + 5x + -1x2 + 3x2 = 0 Combine like terms: 7 + -2 = 5 5 + 6X + 5x + -1x2 + 3x2 = 0 Combine like terms: -1x2 + 3x2 = 2x2 5 + 6X + 5x + 2x2 = 0 Solving 5 + 6X + 5x + 2x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 6X + 5x + -5 + 2x2 = 0 + -5 Reorder the terms: 5 + -5 + 6X + 5x + 2x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6X + 5x + 2x2 = 0 + -5 6X + 5x + 2x2 = 0 + -5 Combine like terms: 0 + -5 = -5 6X + 5x + 2x2 = -5 Add '-5x' to each side of the equation. 6X + 5x + -5x + 2x2 = -5 + -5x Combine like terms: 5x + -5x = 0 6X + 0 + 2x2 = -5 + -5x 6X + 2x2 = -5 + -5x Add '-2x2' to each side of the equation. 6X + 2x2 + -2x2 = -5 + -5x + -2x2 Combine like terms: 2x2 + -2x2 = 0 6X + 0 = -5 + -5x + -2x2 6X = -5 + -5x + -2x2 Divide each side by '6'. X = -0.8333333333 + -0.8333333333x + -0.3333333333x2 Simplifying X = -0.8333333333 + -0.8333333333x + -0.3333333333x2
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