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Simplifying 7x2 + -9x + 40 = 0 Reorder the terms: 40 + -9x + 7x2 = 0 Solving 40 + -9x + 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'. 5.714285714 + -1.285714286x + x2 = 0 Move the constant term to the right: Add '-5.714285714' to each side of the equation. 5.714285714 + -1.285714286x + -5.714285714 + x2 = 0 + -5.714285714 Reorder the terms: 5.714285714 + -5.714285714 + -1.285714286x + x2 = 0 + -5.714285714 Combine like terms: 5.714285714 + -5.714285714 = 0.000000000 0.000000000 + -1.285714286x + x2 = 0 + -5.714285714 -1.285714286x + x2 = 0 + -5.714285714 Combine like terms: 0 + -5.714285714 = -5.714285714 -1.285714286x + x2 = -5.714285714 The x term is -1.285714286x. Take half its coefficient (-0.642857143). Square it (0.4132653063) and add it to both sides. Add '0.4132653063' to each side of the equation. -1.285714286x + 0.4132653063 + x2 = -5.714285714 + 0.4132653063 Reorder the terms: 0.4132653063 + -1.285714286x + x2 = -5.714285714 + 0.4132653063 Combine like terms: -5.714285714 + 0.4132653063 = -5.3010204077 0.4132653063 + -1.285714286x + x2 = -5.3010204077 Factor a perfect square on the left side: (x + -0.642857143)(x + -0.642857143) = -5.3010204077 Can't calculate square root of the right side. The solution to this equation could not be determined.
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