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Simplifying 2x(x + -2) + 20 = 9 Reorder the terms: 2x(-2 + x) + 20 = 9 (-2 * 2x + x * 2x) + 20 = 9 (-4x + 2x2) + 20 = 9 Reorder the terms: 20 + -4x + 2x2 = 9 Solving 20 + -4x + 2x2 = 9 Solving for variable 'x'. Reorder the terms: 20 + -9 + -4x + 2x2 = 9 + -9 Combine like terms: 20 + -9 = 11 11 + -4x + 2x2 = 9 + -9 Combine like terms: 9 + -9 = 0 11 + -4x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 5.5 + -2x + x2 = 0 Move the constant term to the right: Add '-5.5' to each side of the equation. 5.5 + -2x + -5.5 + x2 = 0 + -5.5 Reorder the terms: 5.5 + -5.5 + -2x + x2 = 0 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + -2x + x2 = 0 + -5.5 -2x + x2 = 0 + -5.5 Combine like terms: 0 + -5.5 = -5.5 -2x + x2 = -5.5 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -5.5 + 1 Reorder the terms: 1 + -2x + x2 = -5.5 + 1 Combine like terms: -5.5 + 1 = -4.5 1 + -2x + x2 = -4.5 Factor a perfect square on the left side: (x + -1)(x + -1) = -4.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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