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Simplifying 10.25 = -1x2 + 12x + -26 Reorder the terms: 10.25 = -26 + 12x + -1x2 Solving 10.25 = -26 + 12x + -1x2 Solving for variable 'x'. Combine like terms: 10.25 + 26 = 36.25 36.25 + -12x + x2 = -26 + 12x + -1x2 + 26 + -12x + x2 Reorder the terms: 36.25 + -12x + x2 = -26 + 26 + 12x + -12x + -1x2 + x2 Combine like terms: -26 + 26 = 0 36.25 + -12x + x2 = 0 + 12x + -12x + -1x2 + x2 36.25 + -12x + x2 = 12x + -12x + -1x2 + x2 Combine like terms: 12x + -12x = 0 36.25 + -12x + x2 = 0 + -1x2 + x2 36.25 + -12x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 36.25 + -12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-36.25' to each side of the equation. 36.25 + -12x + -36.25 + x2 = 0 + -36.25 Reorder the terms: 36.25 + -36.25 + -12x + x2 = 0 + -36.25 Combine like terms: 36.25 + -36.25 = 0.00 0.00 + -12x + x2 = 0 + -36.25 -12x + x2 = 0 + -36.25 Combine like terms: 0 + -36.25 = -36.25 -12x + x2 = -36.25 The x term is -12x. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12x + 36 + x2 = -36.25 + 36 Reorder the terms: 36 + -12x + x2 = -36.25 + 36 Combine like terms: -36.25 + 36 = -0.25 36 + -12x + x2 = -0.25 Factor a perfect square on the left side: (x + -6)(x + -6) = -0.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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