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Simplifying 2x(x + -1) + 7(X + -1) = 0 Reorder the terms: 2x(-1 + x) + 7(X + -1) = 0 (-1 * 2x + x * 2x) + 7(X + -1) = 0 (-2x + 2x2) + 7(X + -1) = 0 Reorder the terms: -2x + 2x2 + 7(-1 + X) = 0 -2x + 2x2 + (-1 * 7 + X * 7) = 0 -2x + 2x2 + (-7 + 7X) = 0 Reorder the terms: -7 + 7X + -2x + 2x2 = 0 Solving -7 + 7X + -2x + 2x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7X + -2x + 7 + 2x2 = 0 + 7 Reorder the terms: -7 + 7 + 7X + -2x + 2x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 7X + -2x + 2x2 = 0 + 7 7X + -2x + 2x2 = 0 + 7 Combine like terms: 0 + 7 = 7 7X + -2x + 2x2 = 7 Add '2x' to each side of the equation. 7X + -2x + 2x + 2x2 = 7 + 2x Combine like terms: -2x + 2x = 0 7X + 0 + 2x2 = 7 + 2x 7X + 2x2 = 7 + 2x Add '-2x2' to each side of the equation. 7X + 2x2 + -2x2 = 7 + 2x + -2x2 Combine like terms: 2x2 + -2x2 = 0 7X + 0 = 7 + 2x + -2x2 7X = 7 + 2x + -2x2 Divide each side by '7'. X = 1 + 0.2857142857x + -0.2857142857x2 Simplifying X = 1 + 0.2857142857x + -0.2857142857x2
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