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Simplifying (3x + -5) * x + 201 = 125 Reorder the terms: (-5 + 3x) * x + 201 = 125 Reorder the terms for easier multiplication: x(-5 + 3x) + 201 = 125 (-5 * x + 3x * x) + 201 = 125 (-5x + 3x2) + 201 = 125 Reorder the terms: 201 + -5x + 3x2 = 125 Solving 201 + -5x + 3x2 = 125 Solving for variable 'x'. Reorder the terms: 201 + -125 + -5x + 3x2 = 125 + -125 Combine like terms: 201 + -125 = 76 76 + -5x + 3x2 = 125 + -125 Combine like terms: 125 + -125 = 0 76 + -5x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 25.33333333 + -1.666666667x + x2 = 0 Move the constant term to the right: Add '-25.33333333' to each side of the equation. 25.33333333 + -1.666666667x + -25.33333333 + x2 = 0 + -25.33333333 Reorder the terms: 25.33333333 + -25.33333333 + -1.666666667x + x2 = 0 + -25.33333333 Combine like terms: 25.33333333 + -25.33333333 = 0.00000000 0.00000000 + -1.666666667x + x2 = 0 + -25.33333333 -1.666666667x + x2 = 0 + -25.33333333 Combine like terms: 0 + -25.33333333 = -25.33333333 -1.666666667x + x2 = -25.33333333 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 = -25.33333333 + 0.6944444447 Reorder the terms: 0.6944444447 + -1.666666667x + x2 = -25.33333333 + 0.6944444447 Combine like terms: -25.33333333 + 0.6944444447 = -24.6388888853 0.6944444447 + -1.666666667x + x2 = -24.6388888853 Factor a perfect square on the left side: (x + -0.8333333335)(x + -0.8333333335) = -24.6388888853 Can't calculate square root of the right side. The solution to this equation could not be determined.
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