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Simplifying 0 = -4x2 + -89 + 16x Reorder the terms: 0 = -89 + 16x + -4x2 Solving 0 = -89 + 16x + -4x2 Solving for variable 'x'. Combine like terms: 0 + 89 = 89 89 + -16x + 4x2 = -89 + 16x + -4x2 + 89 + -16x + 4x2 Reorder the terms: 89 + -16x + 4x2 = -89 + 89 + 16x + -16x + -4x2 + 4x2 Combine like terms: -89 + 89 = 0 89 + -16x + 4x2 = 0 + 16x + -16x + -4x2 + 4x2 89 + -16x + 4x2 = 16x + -16x + -4x2 + 4x2 Combine like terms: 16x + -16x = 0 89 + -16x + 4x2 = 0 + -4x2 + 4x2 89 + -16x + 4x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 89 + -16x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 22.25 + -4x + x2 = 0 Move the constant term to the right: Add '-22.25' to each side of the equation. 22.25 + -4x + -22.25 + x2 = 0 + -22.25 Reorder the terms: 22.25 + -22.25 + -4x + x2 = 0 + -22.25 Combine like terms: 22.25 + -22.25 = 0.00 0.00 + -4x + x2 = 0 + -22.25 -4x + x2 = 0 + -22.25 Combine like terms: 0 + -22.25 = -22.25 -4x + x2 = -22.25 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 = -22.25 + 4 Reorder the terms: 4 + -4x + x2 = -22.25 + 4 Combine like terms: -22.25 + 4 = -18.25 4 + -4x + x2 = -18.25 Factor a perfect square on the left side: (x + -2)(x + -2) = -18.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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