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Simplifying 125 = 15x + -1x2 Solving 125 = 15x + -1x2 Solving for variable 'x'. Reorder the terms: 125 + -15x + x2 = 15x + -15x + -1x2 + x2 Combine like terms: 15x + -15x = 0 125 + -15x + x2 = 0 + -1x2 + x2 125 + -15x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 125 + -15x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-125' to each side of the equation. 125 + -15x + -125 + x2 = 0 + -125 Reorder the terms: 125 + -125 + -15x + x2 = 0 + -125 Combine like terms: 125 + -125 = 0 0 + -15x + x2 = 0 + -125 -15x + x2 = 0 + -125 Combine like terms: 0 + -125 = -125 -15x + x2 = -125 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 = -125 + 56.25 Reorder the terms: 56.25 + -15x + x2 = -125 + 56.25 Combine like terms: -125 + 56.25 = -68.75 56.25 + -15x + x2 = -68.75 Factor a perfect square on the left side: (x + -7.5)(x + -7.5) = -68.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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