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Simplifying 5x2 + 6x + 10 = 0 Reorder the terms: 10 + 6x + 5x2 = 0 Solving 10 + 6x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2 + 1.2x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + 1.2x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + 1.2x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1.2x + x2 = 0 + -2 1.2x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 1.2x + x2 = -2 The x term is 1.2x. Take half its coefficient (0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. 1.2x + 0.36 + x2 = -2 + 0.36 Reorder the terms: 0.36 + 1.2x + x2 = -2 + 0.36 Combine like terms: -2 + 0.36 = -1.64 0.36 + 1.2x + x2 = -1.64 Factor a perfect square on the left side: (x + 0.6)(x + 0.6) = -1.64 Can't calculate square root of the right side. The solution to this equation could not be determined.
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