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Simplifying -5x2 = -3x + 3 Reorder the terms: -5x2 = 3 + -3x Solving -5x2 = 3 + -3x Solving for variable 'x'. Reorder the terms: -3 + 3x + -5x2 = 3 + -3x + -3 + 3x Reorder the terms: -3 + 3x + -5x2 = 3 + -3 + -3x + 3x Combine like terms: 3 + -3 = 0 -3 + 3x + -5x2 = 0 + -3x + 3x -3 + 3x + -5x2 = -3x + 3x Combine like terms: -3x + 3x = 0 -3 + 3x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 0.6 + -0.6x + x2 = 0 Move the constant term to the right: Add '-0.6' to each side of the equation. 0.6 + -0.6x + -0.6 + x2 = 0 + -0.6 Reorder the terms: 0.6 + -0.6 + -0.6x + x2 = 0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -0.6x + x2 = 0 + -0.6 -0.6x + x2 = 0 + -0.6 Combine like terms: 0 + -0.6 = -0.6 -0.6x + x2 = -0.6 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 = -0.6 + 0.09 Reorder the terms: 0.09 + -0.6x + x2 = -0.6 + 0.09 Combine like terms: -0.6 + 0.09 = -0.51 0.09 + -0.6x + x2 = -0.51 Factor a perfect square on the left side: (x + -0.3)(x + -0.3) = -0.51 Can't calculate square root of the right side. The solution to this equation could not be determined.
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