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Simplifying 12x2 + -2x + 14 = 5 Reorder the terms: 14 + -2x + 12x2 = 5 Solving 14 + -2x + 12x2 = 5 Solving for variable 'x'. Reorder the terms: 14 + -5 + -2x + 12x2 = 5 + -5 Combine like terms: 14 + -5 = 9 9 + -2x + 12x2 = 5 + -5 Combine like terms: 5 + -5 = 0 9 + -2x + 12x2 = 0 Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 0.75 + -0.1666666667x + x2 = 0 Move the constant term to the right: Add '-0.75' to each side of the equation. 0.75 + -0.1666666667x + -0.75 + x2 = 0 + -0.75 Reorder the terms: 0.75 + -0.75 + -0.1666666667x + x2 = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -0.1666666667x + x2 = 0 + -0.75 -0.1666666667x + x2 = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 -0.1666666667x + x2 = -0.75 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 = -0.75 + 0.006944444447 Reorder the terms: 0.006944444447 + -0.1666666667x + x2 = -0.75 + 0.006944444447 Combine like terms: -0.75 + 0.006944444447 = -0.743055555553 0.006944444447 + -0.1666666667x + x2 = -0.743055555553 Factor a perfect square on the left side: (x + -0.08333333335)(x + -0.08333333335) = -0.743055555553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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