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Simplifying 7x2 + -28x + 160 = 0 Reorder the terms: 160 + -28x + 7x2 = 0 Solving 160 + -28x + 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'. 22.85714286 + -4x + x2 = 0 Move the constant term to the right: Add '-22.85714286' to each side of the equation. 22.85714286 + -4x + -22.85714286 + x2 = 0 + -22.85714286 Reorder the terms: 22.85714286 + -22.85714286 + -4x + x2 = 0 + -22.85714286 Combine like terms: 22.85714286 + -22.85714286 = 0.00000000 0.00000000 + -4x + x2 = 0 + -22.85714286 -4x + x2 = 0 + -22.85714286 Combine like terms: 0 + -22.85714286 = -22.85714286 -4x + x2 = -22.85714286 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -22.85714286 + 4 Reorder the terms: 4 + -4x + x2 = -22.85714286 + 4 Combine like terms: -22.85714286 + 4 = -18.85714286 4 + -4x + x2 = -18.85714286 Factor a perfect square on the left side: (x + -2)(x + -2) = -18.85714286 Can't calculate square root of the right side. The solution to this equation could not be determined.
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