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Simplifying 5x2 + -3x + 60 = 0 Reorder the terms: 60 + -3x + 5x2 = 0 Solving 60 + -3x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 12 + -0.6x + x2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + -0.6x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + -0.6x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -0.6x + x2 = 0 + -12 -0.6x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 -0.6x + x2 = -12 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 = -12 + 0.09 Reorder the terms: 0.09 + -0.6x + x2 = -12 + 0.09 Combine like terms: -12 + 0.09 = -11.91 0.09 + -0.6x + x2 = -11.91 Factor a perfect square on the left side: (x + -0.3)(x + -0.3) = -11.91 Can't calculate square root of the right side. The solution to this equation could not be determined.
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