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Simplifying (x2 + 9x + -4) + -1(x2 + -2x + 1) = 0 Reorder the terms: (-4 + 9x + x2) + -1(x2 + -2x + 1) = 0 Remove parenthesis around (-4 + 9x + x2) -4 + 9x + x2 + -1(x2 + -2x + 1) = 0 Reorder the terms: -4 + 9x + x2 + -1(1 + -2x + x2) = 0 -4 + 9x + x2 + (1 * -1 + -2x * -1 + x2 * -1) = 0 -4 + 9x + x2 + (-1 + 2x + -1x2) = 0 Reorder the terms: -4 + -1 + 9x + 2x + x2 + -1x2 = 0 Combine like terms: -4 + -1 = -5 -5 + 9x + 2x + x2 + -1x2 = 0 Combine like terms: 9x + 2x = 11x -5 + 11x + x2 + -1x2 = 0 Combine like terms: x2 + -1x2 = 0 -5 + 11x + 0 = 0 -5 + 11x = 0 Solving -5 + 11x = 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 + 5 + 11x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 11x = 0 + 5 11x = 0 + 5 Combine like terms: 0 + 5 = 5 11x = 5 Divide each side by '11'. x = 0.4545454545 Simplifying x = 0.4545454545
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