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Simplifying 98 + 2x * 9x + 15 = 10 + -7x + 3 + -10x Reorder the terms for easier multiplication: 98 + 2 * 9x * x + 15 = 10 + -7x + 3 + -10x Multiply 2 * 9 98 + 18x * x + 15 = 10 + -7x + 3 + -10x Multiply x * x 98 + 18x2 + 15 = 10 + -7x + 3 + -10x Reorder the terms: 98 + 15 + 18x2 = 10 + -7x + 3 + -10x Combine like terms: 98 + 15 = 113 113 + 18x2 = 10 + -7x + 3 + -10x Reorder the terms: 113 + 18x2 = 10 + 3 + -7x + -10x Combine like terms: 10 + 3 = 13 113 + 18x2 = 13 + -7x + -10x Combine like terms: -7x + -10x = -17x 113 + 18x2 = 13 + -17x Solving 113 + 18x2 = 13 + -17x Solving for variable 'x'. Reorder the terms: 113 + -13 + 17x + 18x2 = 13 + -17x + -13 + 17x Combine like terms: 113 + -13 = 100 100 + 17x + 18x2 = 13 + -17x + -13 + 17x Reorder the terms: 100 + 17x + 18x2 = 13 + -13 + -17x + 17x Combine like terms: 13 + -13 = 0 100 + 17x + 18x2 = 0 + -17x + 17x 100 + 17x + 18x2 = -17x + 17x Combine like terms: -17x + 17x = 0 100 + 17x + 18x2 = 0 Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 5.555555556 + 0.9444444444x + x2 = 0 Move the constant term to the right: Add '-5.555555556' to each side of the equation. 5.555555556 + 0.9444444444x + -5.555555556 + x2 = 0 + -5.555555556 Reorder the terms: 5.555555556 + -5.555555556 + 0.9444444444x + x2 = 0 + -5.555555556 Combine like terms: 5.555555556 + -5.555555556 = 0.000000000 0.000000000 + 0.9444444444x + x2 = 0 + -5.555555556 0.9444444444x + x2 = 0 + -5.555555556 Combine like terms: 0 + -5.555555556 = -5.555555556 0.9444444444x + x2 = -5.555555556 The x term is 0.9444444444x. Take half its coefficient (0.4722222222). Square it (0.2229938271) and add it to both sides. Add '0.2229938271' to each side of the equation. 0.9444444444x + 0.2229938271 + x2 = -5.555555556 + 0.2229938271 Reorder the terms: 0.2229938271 + 0.9444444444x + x2 = -5.555555556 + 0.2229938271 Combine like terms: -5.555555556 + 0.2229938271 = -5.3325617289 0.2229938271 + 0.9444444444x + x2 = -5.3325617289 Factor a perfect square on the left side: (x + 0.4722222222)(x + 0.4722222222) = -5.3325617289 Can't calculate square root of the right side. The solution to this equation could not be determined.
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