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Simplifying 7x2 + 37x + 188 = 8 Reorder the terms: 188 + 37x + 7x2 = 8 Solving 188 + 37x + 7x2 = 8 Solving for variable 'x'. Reorder the terms: 188 + -8 + 37x + 7x2 = 8 + -8 Combine like terms: 188 + -8 = 180 180 + 37x + 7x2 = 8 + -8 Combine like terms: 8 + -8 = 0 180 + 37x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 25.71428571 + 5.285714286x + x2 = 0 Move the constant term to the right: Add '-25.71428571' to each side of the equation. 25.71428571 + 5.285714286x + -25.71428571 + x2 = 0 + -25.71428571 Reorder the terms: 25.71428571 + -25.71428571 + 5.285714286x + x2 = 0 + -25.71428571 Combine like terms: 25.71428571 + -25.71428571 = 0.00000000 0.00000000 + 5.285714286x + x2 = 0 + -25.71428571 5.285714286x + x2 = 0 + -25.71428571 Combine like terms: 0 + -25.71428571 = -25.71428571 5.285714286x + x2 = -25.71428571 The x term is 5.285714286x. Take half its coefficient (2.642857143). Square it (6.984693878) and add it to both sides. Add '6.984693878' to each side of the equation. 5.285714286x + 6.984693878 + x2 = -25.71428571 + 6.984693878 Reorder the terms: 6.984693878 + 5.285714286x + x2 = -25.71428571 + 6.984693878 Combine like terms: -25.71428571 + 6.984693878 = -18.729591832 6.984693878 + 5.285714286x + x2 = -18.729591832 Factor a perfect square on the left side: (x + 2.642857143)(x + 2.642857143) = -18.729591832 Can't calculate square root of the right side. The solution to this equation could not be determined.
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