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Simplifying 5x2 + 3x = -122 Reorder the terms: 3x + 5x2 = -122 Solving 3x + 5x2 = -122 Solving for variable 'x'. Reorder the terms: 122 + 3x + 5x2 = -122 + 122 Combine like terms: -122 + 122 = 0 122 + 3x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 24.4 + 0.6x + x2 = 0 Move the constant term to the right: Add '-24.4' to each side of the equation. 24.4 + 0.6x + -24.4 + x2 = 0 + -24.4 Reorder the terms: 24.4 + -24.4 + 0.6x + x2 = 0 + -24.4 Combine like terms: 24.4 + -24.4 = 0.0 0.0 + 0.6x + x2 = 0 + -24.4 0.6x + x2 = 0 + -24.4 Combine like terms: 0 + -24.4 = -24.4 0.6x + x2 = -24.4 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 = -24.4 + 0.09 Reorder the terms: 0.09 + 0.6x + x2 = -24.4 + 0.09 Combine like terms: -24.4 + 0.09 = -24.31 0.09 + 0.6x + x2 = -24.31 Factor a perfect square on the left side: (x + 0.3)(x + 0.3) = -24.31 Can't calculate square root of the right side. The solution to this equation could not be determined.
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