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Simplifying x2 + 178 = 19x Reorder the terms: 178 + x2 = 19x Solving 178 + x2 = 19x Solving for variable 'x'. Reorder the terms: 178 + -19x + x2 = 19x + -19x Combine like terms: 19x + -19x = 0 178 + -19x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-178' to each side of the equation. 178 + -19x + -178 + x2 = 0 + -178 Reorder the terms: 178 + -178 + -19x + x2 = 0 + -178 Combine like terms: 178 + -178 = 0 0 + -19x + x2 = 0 + -178 -19x + x2 = 0 + -178 Combine like terms: 0 + -178 = -178 -19x + x2 = -178 The x term is -19x. Take half its coefficient (-9.5). Square it (90.25) and add it to both sides. Add '90.25' to each side of the equation. -19x + 90.25 + x2 = -178 + 90.25 Reorder the terms: 90.25 + -19x + x2 = -178 + 90.25 Combine like terms: -178 + 90.25 = -87.75 90.25 + -19x + x2 = -87.75 Factor a perfect square on the left side: (x + -9.5)(x + -9.5) = -87.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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