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Simplifying 3x2 + -42x + 158 = 0 Reorder the terms: 158 + -42x + 3x2 = 0 Solving 158 + -42x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 52.66666667 + -14x + x2 = 0 Move the constant term to the right: Add '-52.66666667' to each side of the equation. 52.66666667 + -14x + -52.66666667 + x2 = 0 + -52.66666667 Reorder the terms: 52.66666667 + -52.66666667 + -14x + x2 = 0 + -52.66666667 Combine like terms: 52.66666667 + -52.66666667 = 0.00000000 0.00000000 + -14x + x2 = 0 + -52.66666667 -14x + x2 = 0 + -52.66666667 Combine like terms: 0 + -52.66666667 = -52.66666667 -14x + x2 = -52.66666667 The x term is -14x. Take half its coefficient (-7). Square it (49) and add it to both sides. Add '49' to each side of the equation. -14x + 49 + x2 = -52.66666667 + 49 Reorder the terms: 49 + -14x + x2 = -52.66666667 + 49 Combine like terms: -52.66666667 + 49 = -3.66666667 49 + -14x + x2 = -3.66666667 Factor a perfect square on the left side: (x + -7)(x + -7) = -3.66666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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