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Simplifying x2 = 15x + -100 Reorder the terms: x2 = -100 + 15x Solving x2 = -100 + 15x Solving for variable 'x'. Reorder the terms: 100 + -15x + x2 = -100 + 15x + 100 + -15x Reorder the terms: 100 + -15x + x2 = -100 + 100 + 15x + -15x Combine like terms: -100 + 100 = 0 100 + -15x + x2 = 0 + 15x + -15x 100 + -15x + x2 = 15x + -15x Combine like terms: 15x + -15x = 0 100 + -15x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-100' to each side of the equation. 100 + -15x + -100 + x2 = 0 + -100 Reorder the terms: 100 + -100 + -15x + x2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -15x + x2 = 0 + -100 -15x + x2 = 0 + -100 Combine like terms: 0 + -100 = -100 -15x + x2 = -100 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 = -100 + 56.25 Reorder the terms: 56.25 + -15x + x2 = -100 + 56.25 Combine like terms: -100 + 56.25 = -43.75 56.25 + -15x + x2 = -43.75 Factor a perfect square on the left side: (x + -7.5)(x + -7.5) = -43.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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