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Simplifying 6x2 + 7 = x Reorder the terms: 7 + 6x2 = x Solving 7 + 6x2 = x Solving for variable 'x'. Reorder the terms: 7 + -1x + 6x2 = x + -1x Combine like terms: x + -1x = 0 7 + -1x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1.166666667 + -0.1666666667x + x2 = 0 Move the constant term to the right: Add '-1.166666667' to each side of the equation. 1.166666667 + -0.1666666667x + -1.166666667 + x2 = 0 + -1.166666667 Reorder the terms: 1.166666667 + -1.166666667 + -0.1666666667x + x2 = 0 + -1.166666667 Combine like terms: 1.166666667 + -1.166666667 = 0.000000000 0.000000000 + -0.1666666667x + x2 = 0 + -1.166666667 -0.1666666667x + x2 = 0 + -1.166666667 Combine like terms: 0 + -1.166666667 = -1.166666667 -0.1666666667x + x2 = -1.166666667 The x term is -0.1666666667x. Take half its coefficient (-0.08333333335). Square it (0.006944444447) and add it to both sides. Add '0.006944444447' to each side of the equation. -0.1666666667x + 0.006944444447 + x2 = -1.166666667 + 0.006944444447 Reorder the terms: 0.006944444447 + -0.1666666667x + x2 = -1.166666667 + 0.006944444447 Combine like terms: -1.166666667 + 0.006944444447 = -1.159722222553 0.006944444447 + -0.1666666667x + x2 = -1.159722222553 Factor a perfect square on the left side: (x + -0.08333333335)(x + -0.08333333335) = -1.159722222553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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