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Simplifying 5x2 + 9 = -3x Reorder the terms: 9 + 5x2 = -3x Solving 9 + 5x2 = -3x Solving for variable 'x'. Reorder the terms: 9 + 3x + 5x2 = -3x + 3x Combine like terms: -3x + 3x = 0 9 + 3x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.8 + 0.6x + x2 = 0 Move the constant term to the right: Add '-1.8' to each side of the equation. 1.8 + 0.6x + -1.8 + x2 = 0 + -1.8 Reorder the terms: 1.8 + -1.8 + 0.6x + x2 = 0 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + 0.6x + x2 = 0 + -1.8 0.6x + x2 = 0 + -1.8 Combine like terms: 0 + -1.8 = -1.8 0.6x + x2 = -1.8 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 = -1.8 + 0.09 Reorder the terms: 0.09 + 0.6x + x2 = -1.8 + 0.09 Combine like terms: -1.8 + 0.09 = -1.71 0.09 + 0.6x + x2 = -1.71 Factor a perfect square on the left side: (x + 0.3)(x + 0.3) = -1.71 Can't calculate square root of the right side. The solution to this equation could not be determined.
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