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Simplifying 10x2 + 15x = -116 Reorder the terms: 15x + 10x2 = -116 Solving 15x + 10x2 = -116 Solving for variable 'x'. Reorder the terms: 116 + 15x + 10x2 = -116 + 116 Combine like terms: -116 + 116 = 0 116 + 15x + 10x2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 11.6 + 1.5x + x2 = 0 Move the constant term to the right: Add '-11.6' to each side of the equation. 11.6 + 1.5x + -11.6 + x2 = 0 + -11.6 Reorder the terms: 11.6 + -11.6 + 1.5x + x2 = 0 + -11.6 Combine like terms: 11.6 + -11.6 = 0.0 0.0 + 1.5x + x2 = 0 + -11.6 1.5x + x2 = 0 + -11.6 Combine like terms: 0 + -11.6 = -11.6 1.5x + x2 = -11.6 The x term is 1.5x. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5x + 0.5625 + x2 = -11.6 + 0.5625 Reorder the terms: 0.5625 + 1.5x + x2 = -11.6 + 0.5625 Combine like terms: -11.6 + 0.5625 = -11.0375 0.5625 + 1.5x + x2 = -11.0375 Factor a perfect square on the left side: (x + 0.75)(x + 0.75) = -11.0375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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