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Simplifying 3x + -1 = 5x2 + 9 Reorder the terms: -1 + 3x = 5x2 + 9 Reorder the terms: -1 + 3x = 9 + 5x2 Solving -1 + 3x = 9 + 5x2 Solving for variable 'x'. Reorder the terms: -1 + -9 + 3x + -5x2 = 9 + 5x2 + -9 + -5x2 Combine like terms: -1 + -9 = -10 -10 + 3x + -5x2 = 9 + 5x2 + -9 + -5x2 Reorder the terms: -10 + 3x + -5x2 = 9 + -9 + 5x2 + -5x2 Combine like terms: 9 + -9 = 0 -10 + 3x + -5x2 = 0 + 5x2 + -5x2 -10 + 3x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -10 + 3x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 2 + -0.6x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -0.6x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -0.6x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -0.6x + x2 = 0 + -2 -0.6x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -0.6x + x2 = -2 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 = -2 + 0.09 Reorder the terms: 0.09 + -0.6x + x2 = -2 + 0.09 Combine like terms: -2 + 0.09 = -1.91 0.09 + -0.6x + x2 = -1.91 Factor a perfect square on the left side: (x + -0.3)(x + -0.3) = -1.91 Can't calculate square root of the right side. The solution to this equation could not be determined.
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