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Simplifying 7x2 + 37x + 72 = 0 Reorder the terms: 72 + 37x + 7x2 = 0 Solving 72 + 37x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 10.28571429 + 5.285714286x + x2 = 0 Move the constant term to the right: Add '-10.28571429' to each side of the equation. 10.28571429 + 5.285714286x + -10.28571429 + x2 = 0 + -10.28571429 Reorder the terms: 10.28571429 + -10.28571429 + 5.285714286x + x2 = 0 + -10.28571429 Combine like terms: 10.28571429 + -10.28571429 = 0.00000000 0.00000000 + 5.285714286x + x2 = 0 + -10.28571429 5.285714286x + x2 = 0 + -10.28571429 Combine like terms: 0 + -10.28571429 = -10.28571429 5.285714286x + x2 = -10.28571429 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 = -10.28571429 + 6.984693878 Reorder the terms: 6.984693878 + 5.285714286x + x2 = -10.28571429 + 6.984693878 Combine like terms: -10.28571429 + 6.984693878 = -3.301020412 6.984693878 + 5.285714286x + x2 = -3.301020412 Factor a perfect square on the left side: (x + 2.642857143)(x + 2.642857143) = -3.301020412 Can't calculate square root of the right side. The solution to this equation could not be determined.
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