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Simplifying 36.7 = -1x2 + 7x Reorder the terms: 36.7 = 7x + -1x2 Solving 36.7 = 7x + -1x2 Solving for variable 'x'. Reorder the terms: 36.7 + -7x + x2 = 7x + -7x + -1x2 + x2 Combine like terms: 7x + -7x = 0 36.7 + -7x + x2 = 0 + -1x2 + x2 36.7 + -7x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 36.7 + -7x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-36.7' to each side of the equation. 36.7 + -7x + -36.7 + x2 = 0 + -36.7 Reorder the terms: 36.7 + -36.7 + -7x + x2 = 0 + -36.7 Combine like terms: 36.7 + -36.7 = 0.0 0.0 + -7x + x2 = 0 + -36.7 -7x + x2 = 0 + -36.7 Combine like terms: 0 + -36.7 = -36.7 -7x + x2 = -36.7 The x term is -7x. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7x + 12.25 + x2 = -36.7 + 12.25 Reorder the terms: 12.25 + -7x + x2 = -36.7 + 12.25 Combine like terms: -36.7 + 12.25 = -24.45 12.25 + -7x + x2 = -24.45 Factor a perfect square on the left side: (x + -3.5)(x + -3.5) = -24.45 Can't calculate square root of the right side. The solution to this equation could not be determined.
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