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Simplifying x2 + -15x + (56.25) = -26 x2 + -15x + 56.25 = -26 Reorder the terms: 56.25 + -15x + x2 = -26 Solving 56.25 + -15x + x2 = -26 Solving for variable 'x'. Reorder the terms: 56.25 + 26 + -15x + x2 = -26 + 26 Combine like terms: 56.25 + 26 = 82.25 82.25 + -15x + x2 = -26 + 26 Combine like terms: -26 + 26 = 0 82.25 + -15x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-82.25' to each side of the equation. 82.25 + -15x + -82.25 + x2 = 0 + -82.25 Reorder the terms: 82.25 + -82.25 + -15x + x2 = 0 + -82.25 Combine like terms: 82.25 + -82.25 = 0.00 0.00 + -15x + x2 = 0 + -82.25 -15x + x2 = 0 + -82.25 Combine like terms: 0 + -82.25 = -82.25 -15x + x2 = -82.25 The x term is -15x. Take half its coefficient (-7.5). Square it (56.25) and add it to both sides. Add '56.25' to each side of the equation. -15x + 56.25 + x2 = -82.25 + 56.25 Reorder the terms: 56.25 + -15x + x2 = -82.25 + 56.25 Combine like terms: -82.25 + 56.25 = -26 56.25 + -15x + x2 = -26 Factor a perfect square on the left side: (x + -7.5)(x + -7.5) = -26 Can't calculate square root of the right side. The solution to this equation could not be determined.
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