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Simplifying 2x2 + -10x + 36 + x(5x + 13) = 0 Reorder the terms: 2x2 + -10x + 36 + x(13 + 5x) = 0 2x2 + -10x + 36 + (13 * x + 5x * x) = 0 2x2 + -10x + 36 + (13x + 5x2) = 0 Reorder the terms: 36 + -10x + 13x + 2x2 + 5x2 = 0 Combine like terms: -10x + 13x = 3x 36 + 3x + 2x2 + 5x2 = 0 Combine like terms: 2x2 + 5x2 = 7x2 36 + 3x + 7x2 = 0 Solving 36 + 3x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 5.142857143 + 0.4285714286x + x2 = 0 Move the constant term to the right: Add '-5.142857143' to each side of the equation. 5.142857143 + 0.4285714286x + -5.142857143 + x2 = 0 + -5.142857143 Reorder the terms: 5.142857143 + -5.142857143 + 0.4285714286x + x2 = 0 + -5.142857143 Combine like terms: 5.142857143 + -5.142857143 = 0.000000000 0.000000000 + 0.4285714286x + x2 = 0 + -5.142857143 0.4285714286x + x2 = 0 + -5.142857143 Combine like terms: 0 + -5.142857143 = -5.142857143 0.4285714286x + x2 = -5.142857143 The x term is 0.4285714286x. Take half its coefficient (0.2142857143). Square it (0.04591836735) and add it to both sides. Add '0.04591836735' to each side of the equation. 0.4285714286x + 0.04591836735 + x2 = -5.142857143 + 0.04591836735 Reorder the terms: 0.04591836735 + 0.4285714286x + x2 = -5.142857143 + 0.04591836735 Combine like terms: -5.142857143 + 0.04591836735 = -5.09693877565 0.04591836735 + 0.4285714286x + x2 = -5.09693877565 Factor a perfect square on the left side: (x + 0.2142857143)(x + 0.2142857143) = -5.09693877565 Can't calculate square root of the right side. The solution to this equation could not be determined.
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