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Simplifying (4x2 + 5) + -1(2x2 + -6) + (4x2 + -10x) = 0 Reorder the terms: (5 + 4x2) + -1(2x2 + -6) + (4x2 + -10x) = 0 Remove parenthesis around (5 + 4x2) 5 + 4x2 + -1(2x2 + -6) + (4x2 + -10x) = 0 Reorder the terms: 5 + 4x2 + -1(-6 + 2x2) + (4x2 + -10x) = 0 5 + 4x2 + (-6 * -1 + 2x2 * -1) + (4x2 + -10x) = 0 5 + 4x2 + (6 + -2x2) + (4x2 + -10x) = 0 Reorder the terms: 5 + 4x2 + 6 + -2x2 + (-10x + 4x2) = 0 Remove parenthesis around (-10x + 4x2) 5 + 4x2 + 6 + -2x2 + -10x + 4x2 = 0 Reorder the terms: 5 + 6 + -10x + 4x2 + -2x2 + 4x2 = 0 Combine like terms: 5 + 6 = 11 11 + -10x + 4x2 + -2x2 + 4x2 = 0 Combine like terms: 4x2 + -2x2 = 2x2 11 + -10x + 2x2 + 4x2 = 0 Combine like terms: 2x2 + 4x2 = 6x2 11 + -10x + 6x2 = 0 Solving 11 + -10x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1.833333333 + -1.666666667x + x2 = 0 Move the constant term to the right: Add '-1.833333333' to each side of the equation. 1.833333333 + -1.666666667x + -1.833333333 + x2 = 0 + -1.833333333 Reorder the terms: 1.833333333 + -1.833333333 + -1.666666667x + x2 = 0 + -1.833333333 Combine like terms: 1.833333333 + -1.833333333 = 0.000000000 0.000000000 + -1.666666667x + x2 = 0 + -1.833333333 -1.666666667x + x2 = 0 + -1.833333333 Combine like terms: 0 + -1.833333333 = -1.833333333 -1.666666667x + x2 = -1.833333333 The x term is -1.666666667x. Take half its coefficient (-0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. -1.666666667x + 0.6944444447 + x2 = -1.833333333 + 0.6944444447 Reorder the terms: 0.6944444447 + -1.666666667x + x2 = -1.833333333 + 0.6944444447 Combine like terms: -1.833333333 + 0.6944444447 = -1.1388888883 0.6944444447 + -1.666666667x + x2 = -1.1388888883 Factor a perfect square on the left side: (x + -0.8333333335)(x + -0.8333333335) = -1.1388888883 Can't calculate square root of the right side. The solution to this equation could not be determined.
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