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Simplifying -4x2 + 16x = 19 Reorder the terms: 16x + -4x2 = 19 Solving 16x + -4x2 = 19 Solving for variable 'x'. Reorder the terms: -19 + 16x + -4x2 = 19 + -19 Combine like terms: 19 + -19 = 0 -19 + 16x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 4.75 + -4x + x2 = 0 Move the constant term to the right: Add '-4.75' to each side of the equation. 4.75 + -4x + -4.75 + x2 = 0 + -4.75 Reorder the terms: 4.75 + -4.75 + -4x + x2 = 0 + -4.75 Combine like terms: 4.75 + -4.75 = 0.00 0.00 + -4x + x2 = 0 + -4.75 -4x + x2 = 0 + -4.75 Combine like terms: 0 + -4.75 = -4.75 -4x + x2 = -4.75 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 = -4.75 + 4 Reorder the terms: 4 + -4x + x2 = -4.75 + 4 Combine like terms: -4.75 + 4 = -0.75 4 + -4x + x2 = -0.75 Factor a perfect square on the left side: (x + -2)(x + -2) = -0.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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