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Simplifying 10x2 + -6x + 13.5 = 0 Reorder the terms: 13.5 + -6x + 10x2 = 0 Solving 13.5 + -6x + 10x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 1.35 + -0.6x + x2 = 0 Move the constant term to the right: Add '-1.35' to each side of the equation. 1.35 + -0.6x + -1.35 + x2 = 0 + -1.35 Reorder the terms: 1.35 + -1.35 + -0.6x + x2 = 0 + -1.35 Combine like terms: 1.35 + -1.35 = 0.00 0.00 + -0.6x + x2 = 0 + -1.35 -0.6x + x2 = 0 + -1.35 Combine like terms: 0 + -1.35 = -1.35 -0.6x + x2 = -1.35 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 = -1.35 + 0.09 Reorder the terms: 0.09 + -0.6x + x2 = -1.35 + 0.09 Combine like terms: -1.35 + 0.09 = -1.26 0.09 + -0.6x + x2 = -1.26 Factor a perfect square on the left side: (x + -0.3)(x + -0.3) = -1.26 Can't calculate square root of the right side. The solution to this equation could not be determined.
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