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Simplifying 3x2 + 50x = -5000 Reorder the terms: 50x + 3x2 = -5000 Solving 50x + 3x2 = -5000 Solving for variable 'x'. Reorder the terms: 5000 + 50x + 3x2 = -5000 + 5000 Combine like terms: -5000 + 5000 = 0 5000 + 50x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 1666.666667 + 16.66666667x + x2 = 0 Move the constant term to the right: Add '-1666.666667' to each side of the equation. 1666.666667 + 16.66666667x + -1666.666667 + x2 = 0 + -1666.666667 Reorder the terms: 1666.666667 + -1666.666667 + 16.66666667x + x2 = 0 + -1666.666667 Combine like terms: 1666.666667 + -1666.666667 = 0.000000 0.000000 + 16.66666667x + x2 = 0 + -1666.666667 16.66666667x + x2 = 0 + -1666.666667 Combine like terms: 0 + -1666.666667 = -1666.666667 16.66666667x + x2 = -1666.666667 The x term is 16.66666667x. Take half its coefficient (8.333333335). Square it (69.44444447) and add it to both sides. Add '69.44444447' to each side of the equation. 16.66666667x + 69.44444447 + x2 = -1666.666667 + 69.44444447 Reorder the terms: 69.44444447 + 16.66666667x + x2 = -1666.666667 + 69.44444447 Combine like terms: -1666.666667 + 69.44444447 = -1597.22222253 69.44444447 + 16.66666667x + x2 = -1597.22222253 Factor a perfect square on the left side: (x + 8.333333335)(x + 8.333333335) = -1597.22222253 Can't calculate square root of the right side. The solution to this equation could not be determined.
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