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Simplifying x2 + 0.6x + 10 = 0 Reorder the terms: 10 + 0.6x + x2 = 0 Solving 10 + 0.6x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + 0.6x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + 0.6x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 0.6x + x2 = 0 + -10 0.6x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 0.6x + x2 = -10 The x term is 0.6x. Take half its coefficient (0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. 0.6x + 0.09 + x2 = -10 + 0.09 Reorder the terms: 0.09 + 0.6x + x2 = -10 + 0.09 Combine like terms: -10 + 0.09 = -9.91 0.09 + 0.6x + x2 = -9.91 Factor a perfect square on the left side: (x + 0.3)(x + 0.3) = -9.91 Can't calculate square root of the right side. The solution to this equation could not be determined.
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