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Simplifying 18x2 + 13 = 30x Reorder the terms: 13 + 18x2 = 30x Solving 13 + 18x2 = 30x Solving for variable 'x'. Reorder the terms: 13 + -30x + 18x2 = 30x + -30x Combine like terms: 30x + -30x = 0 13 + -30x + 18x2 = 0 Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 0.7222222222 + -1.666666667x + x2 = 0 Move the constant term to the right: Add '-0.7222222222' to each side of the equation. 0.7222222222 + -1.666666667x + -0.7222222222 + x2 = 0 + -0.7222222222 Reorder the terms: 0.7222222222 + -0.7222222222 + -1.666666667x + x2 = 0 + -0.7222222222 Combine like terms: 0.7222222222 + -0.7222222222 = 0.0000000000 0.0000000000 + -1.666666667x + x2 = 0 + -0.7222222222 -1.666666667x + x2 = 0 + -0.7222222222 Combine like terms: 0 + -0.7222222222 = -0.7222222222 -1.666666667x + x2 = -0.7222222222 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 = -0.7222222222 + 0.6944444447 Reorder the terms: 0.6944444447 + -1.666666667x + x2 = -0.7222222222 + 0.6944444447 Combine like terms: -0.7222222222 + 0.6944444447 = -0.0277777775 0.6944444447 + -1.666666667x + x2 = -0.0277777775 Factor a perfect square on the left side: (x + -0.8333333335)(x + -0.8333333335) = -0.0277777775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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