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Simplifying 3x2 = 5x + -174 Reorder the terms: 3x2 = -174 + 5x Solving 3x2 = -174 + 5x Solving for variable 'x'. Reorder the terms: 174 + -5x + 3x2 = -174 + 5x + 174 + -5x Reorder the terms: 174 + -5x + 3x2 = -174 + 174 + 5x + -5x Combine like terms: -174 + 174 = 0 174 + -5x + 3x2 = 0 + 5x + -5x 174 + -5x + 3x2 = 5x + -5x Combine like terms: 5x + -5x = 0 174 + -5x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 58 + -1.666666667x + x2 = 0 Move the constant term to the right: Add '-58' to each side of the equation. 58 + -1.666666667x + -58 + x2 = 0 + -58 Reorder the terms: 58 + -58 + -1.666666667x + x2 = 0 + -58 Combine like terms: 58 + -58 = 0 0 + -1.666666667x + x2 = 0 + -58 -1.666666667x + x2 = 0 + -58 Combine like terms: 0 + -58 = -58 -1.666666667x + x2 = -58 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 = -58 + 0.6944444447 Reorder the terms: 0.6944444447 + -1.666666667x + x2 = -58 + 0.6944444447 Combine like terms: -58 + 0.6944444447 = -57.3055555553 0.6944444447 + -1.666666667x + x2 = -57.3055555553 Factor a perfect square on the left side: (x + -0.8333333335)(x + -0.8333333335) = -57.3055555553 Can't calculate square root of the right side. The solution to this equation could not be determined.
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