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Simplifying 6x2 + -10x + 20 = 5 Reorder the terms: 20 + -10x + 6x2 = 5 Solving 20 + -10x + 6x2 = 5 Solving for variable 'x'. Reorder the terms: 20 + -5 + -10x + 6x2 = 5 + -5 Combine like terms: 20 + -5 = 15 15 + -10x + 6x2 = 5 + -5 Combine like terms: 5 + -5 = 0 15 + -10x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 2.5 + -1.666666667x + x2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + -1.666666667x + -2.5 + x2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + -1.666666667x + x2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -1.666666667x + x2 = 0 + -2.5 -1.666666667x + x2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 -1.666666667x + x2 = -2.5 The x term is -1.666666667x. Take half its coefficient (-0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. -1.666666667x + 0.6944444447 + x2 = -2.5 + 0.6944444447 Reorder the terms: 0.6944444447 + -1.666666667x + x2 = -2.5 + 0.6944444447 Combine like terms: -2.5 + 0.6944444447 = -1.8055555553 0.6944444447 + -1.666666667x + x2 = -1.8055555553 Factor a perfect square on the left side: (x + -0.8333333335)(x + -0.8333333335) = -1.8055555553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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