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Simplifying 3x2 + 25x + 75 = 0 Reorder the terms: 75 + 25x + 3x2 = 0 Solving 75 + 25x + 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'. 25 + 8.333333333x + x2 = 0 Move the constant term to the right: Add '-25' to each side of the equation. 25 + 8.333333333x + -25 + x2 = 0 + -25 Reorder the terms: 25 + -25 + 8.333333333x + x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 8.333333333x + x2 = 0 + -25 8.333333333x + x2 = 0 + -25 Combine like terms: 0 + -25 = -25 8.333333333x + x2 = -25 The x term is 8.333333333x. Take half its coefficient (4.166666667). Square it (17.36111111) and add it to both sides. Add '17.36111111' to each side of the equation. 8.333333333x + 17.36111111 + x2 = -25 + 17.36111111 Reorder the terms: 17.36111111 + 8.333333333x + x2 = -25 + 17.36111111 Combine like terms: -25 + 17.36111111 = -7.63888889 17.36111111 + 8.333333333x + x2 = -7.63888889 Factor a perfect square on the left side: (x + 4.166666667)(x + 4.166666667) = -7.63888889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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