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Simplifying 196 = 324 + x2 + -36x * 0.5253219888 Reorder the terms for easier multiplication: 196 = 324 + x2 + -36 * 0.5253219888x Multiply -36 * 0.5253219888 196 = 324 + x2 + -18.9115916x Reorder the terms: 196 = 324 + -18.9115916x + x2 Solving 196 = 324 + -18.9115916x + x2 Solving for variable 'x'. Combine like terms: 196 + -324 = -128 -128 + 18.9115916x + -1x2 = 324 + -18.9115916x + x2 + -324 + 18.9115916x + -1x2 Reorder the terms: -128 + 18.9115916x + -1x2 = 324 + -324 + -18.9115916x + 18.9115916x + x2 + -1x2 Combine like terms: 324 + -324 = 0 -128 + 18.9115916x + -1x2 = 0 + -18.9115916x + 18.9115916x + x2 + -1x2 -128 + 18.9115916x + -1x2 = -18.9115916x + 18.9115916x + x2 + -1x2 Combine like terms: -18.9115916x + 18.9115916x = 0.0000000 -128 + 18.9115916x + -1x2 = 0.0000000 + x2 + -1x2 -128 + 18.9115916x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -128 + 18.9115916x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 128 + -18.9115916x + x2 = 0 Move the constant term to the right: Add '-128' to each side of the equation. 128 + -18.9115916x + -128 + x2 = 0 + -128 Reorder the terms: 128 + -128 + -18.9115916x + x2 = 0 + -128 Combine like terms: 128 + -128 = 0 0 + -18.9115916x + x2 = 0 + -128 -18.9115916x + x2 = 0 + -128 Combine like terms: 0 + -128 = -128 -18.9115916x + x2 = -128 The x term is -18.9115916x. Take half its coefficient (-9.4557958). Square it (89.41207421) and add it to both sides. Add '89.41207421' to each side of the equation. -18.9115916x + 89.41207421 + x2 = -128 + 89.41207421 Reorder the terms: 89.41207421 + -18.9115916x + x2 = -128 + 89.41207421 Combine like terms: -128 + 89.41207421 = -38.58792579 89.41207421 + -18.9115916x + x2 = -38.58792579 Factor a perfect square on the left side: (x + -9.4557958)(x + -9.4557958) = -38.58792579 Can't calculate square root of the right side. The solution to this equation could not be determined.
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