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Simplifying 10x2 + -16x + 45 = 0 Reorder the terms: 45 + -16x + 10x2 = 0 Solving 45 + -16x + 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'. 4.5 + -1.6x + x2 = 0 Move the constant term to the right: Add '-4.5' to each side of the equation. 4.5 + -1.6x + -4.5 + x2 = 0 + -4.5 Reorder the terms: 4.5 + -4.5 + -1.6x + x2 = 0 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -1.6x + x2 = 0 + -4.5 -1.6x + x2 = 0 + -4.5 Combine like terms: 0 + -4.5 = -4.5 -1.6x + x2 = -4.5 The x term is -1.6x. Take half its coefficient (-0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. -1.6x + 0.64 + x2 = -4.5 + 0.64 Reorder the terms: 0.64 + -1.6x + x2 = -4.5 + 0.64 Combine like terms: -4.5 + 0.64 = -3.86 0.64 + -1.6x + x2 = -3.86 Factor a perfect square on the left side: (x + -0.8)(x + -0.8) = -3.86 Can't calculate square root of the right side. The solution to this equation could not be determined.
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