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Simplifying 1.19 = -5x2 + 4.6x Reorder the terms: 1.19 = 4.6x + -5x2 Solving 1.19 = 4.6x + -5x2 Solving for variable 'x'. Reorder the terms: 1.19 + -4.6x + 5x2 = 4.6x + -4.6x + -5x2 + 5x2 Combine like terms: 4.6x + -4.6x = 0.0 1.19 + -4.6x + 5x2 = 0.0 + -5x2 + 5x2 1.19 + -4.6x + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 1.19 + -4.6x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.238 + -0.92x + x2 = 0 Move the constant term to the right: Add '-0.238' to each side of the equation. 0.238 + -0.92x + -0.238 + x2 = 0 + -0.238 Reorder the terms: 0.238 + -0.238 + -0.92x + x2 = 0 + -0.238 Combine like terms: 0.238 + -0.238 = 0.000 0.000 + -0.92x + x2 = 0 + -0.238 -0.92x + x2 = 0 + -0.238 Combine like terms: 0 + -0.238 = -0.238 -0.92x + x2 = -0.238 The x term is -0.92x. Take half its coefficient (-0.46). Square it (0.2116) and add it to both sides. Add '0.2116' to each side of the equation. -0.92x + 0.2116 + x2 = -0.238 + 0.2116 Reorder the terms: 0.2116 + -0.92x + x2 = -0.238 + 0.2116 Combine like terms: -0.238 + 0.2116 = -0.0264 0.2116 + -0.92x + x2 = -0.0264 Factor a perfect square on the left side: (x + -0.46)(x + -0.46) = -0.0264 Can't calculate square root of the right side. The solution to this equation could not be determined.
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