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Simplifying (x2 + 3x + 5) + -1(6x2 + -5X + 7) = 0 Reorder the terms: (5 + 3x + x2) + -1(6x2 + -5X + 7) = 0 Remove parenthesis around (5 + 3x + x2) 5 + 3x + x2 + -1(6x2 + -5X + 7) = 0 Reorder the terms: 5 + 3x + x2 + -1(7 + -5X + 6x2) = 0 5 + 3x + x2 + (7 * -1 + -5X * -1 + 6x2 * -1) = 0 5 + 3x + x2 + (-7 + 5X + -6x2) = 0 Reorder the terms: 5 + -7 + 5X + 3x + x2 + -6x2 = 0 Combine like terms: 5 + -7 = -2 -2 + 5X + 3x + x2 + -6x2 = 0 Combine like terms: x2 + -6x2 = -5x2 -2 + 5X + 3x + -5x2 = 0 Solving -2 + 5X + 3x + -5x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 5X + 3x + 2 + -5x2 = 0 + 2 Reorder the terms: -2 + 2 + 5X + 3x + -5x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5X + 3x + -5x2 = 0 + 2 5X + 3x + -5x2 = 0 + 2 Combine like terms: 0 + 2 = 2 5X + 3x + -5x2 = 2 Add '-3x' to each side of the equation. 5X + 3x + -3x + -5x2 = 2 + -3x Combine like terms: 3x + -3x = 0 5X + 0 + -5x2 = 2 + -3x 5X + -5x2 = 2 + -3x Add '5x2' to each side of the equation. 5X + -5x2 + 5x2 = 2 + -3x + 5x2 Combine like terms: -5x2 + 5x2 = 0 5X + 0 = 2 + -3x + 5x2 5X = 2 + -3x + 5x2 Divide each side by '5'. X = 0.4 + -0.6x + x2 Simplifying X = 0.4 + -0.6x + x2
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