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Simplifying (9x2 + -4x + 5) + -1(2x + -8) = 0 Reorder the terms: (5 + -4x + 9x2) + -1(2x + -8) = 0 Remove parenthesis around (5 + -4x + 9x2) 5 + -4x + 9x2 + -1(2x + -8) = 0 Reorder the terms: 5 + -4x + 9x2 + -1(-8 + 2x) = 0 5 + -4x + 9x2 + (-8 * -1 + 2x * -1) = 0 5 + -4x + 9x2 + (8 + -2x) = 0 Reorder the terms: 5 + 8 + -4x + -2x + 9x2 = 0 Combine like terms: 5 + 8 = 13 13 + -4x + -2x + 9x2 = 0 Combine like terms: -4x + -2x = -6x 13 + -6x + 9x2 = 0 Solving 13 + -6x + 9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1.444444444 + -0.6666666667x + x2 = 0 Move the constant term to the right: Add '-1.444444444' to each side of the equation. 1.444444444 + -0.6666666667x + -1.444444444 + x2 = 0 + -1.444444444 Reorder the terms: 1.444444444 + -1.444444444 + -0.6666666667x + x2 = 0 + -1.444444444 Combine like terms: 1.444444444 + -1.444444444 = 0.000000000 0.000000000 + -0.6666666667x + x2 = 0 + -1.444444444 -0.6666666667x + x2 = 0 + -1.444444444 Combine like terms: 0 + -1.444444444 = -1.444444444 -0.6666666667x + x2 = -1.444444444 The x term is -0.6666666667x. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667x + 0.1111111112 + x2 = -1.444444444 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667x + x2 = -1.444444444 + 0.1111111112 Combine like terms: -1.444444444 + 0.1111111112 = -1.3333333328 0.1111111112 + -0.6666666667x + x2 = -1.3333333328 Factor a perfect square on the left side: (x + -0.3333333334)(x + -0.3333333334) = -1.3333333328 Can't calculate square root of the right side. The solution to this equation could not be determined.
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