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Simplifying 7.5 + 5x2 = -1x Solving 7.5 + 5x2 = -1x Solving for variable 'x'. Reorder the terms: 7.5 + x + 5x2 = -1x + x Combine like terms: -1x + x = 0 7.5 + x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.5 + 0.2x + x2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + 0.2x + -1.5 + x2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + 0.2x + x2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.2x + x2 = 0 + -1.5 0.2x + x2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 0.2x + x2 = -1.5 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.2x + 0.25 + x2 = -1.5 + 0.25 Reorder the terms: 0.25 + 0.2x + x2 = -1.5 + 0.25 Combine like terms: -1.5 + 0.25 = -1.25 0.25 + 0.2x + x2 = -1.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -1.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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