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Simplifying -4x(x + 1) + 5x = 11 Reorder the terms: -4x(1 + x) + 5x = 11 (1 * -4x + x * -4x) + 5x = 11 (-4x + -4x2) + 5x = 11 Reorder the terms: -4x + 5x + -4x2 = 11 Combine like terms: -4x + 5x = 1x 1x + -4x2 = 11 Solving 1x + -4x2 = 11 Solving for variable 'x'. Reorder the terms: -11 + 1x + -4x2 = 11 + -11 Combine like terms: 11 + -11 = 0 -11 + 1x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 2.75 + -0.25x + x2 = 0 Move the constant term to the right: Add '-2.75' to each side of the equation. 2.75 + -0.25x + -2.75 + x2 = 0 + -2.75 Reorder the terms: 2.75 + -2.75 + -0.25x + x2 = 0 + -2.75 Combine like terms: 2.75 + -2.75 = 0.00 0.00 + -0.25x + x2 = 0 + -2.75 -0.25x + x2 = 0 + -2.75 Combine like terms: 0 + -2.75 = -2.75 -0.25x + x2 = -2.75 The x term is -0.25x. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25x + 0.015625 + x2 = -2.75 + 0.015625 Reorder the terms: 0.015625 + -0.25x + x2 = -2.75 + 0.015625 Combine like terms: -2.75 + 0.015625 = -2.734375 0.015625 + -0.25x + x2 = -2.734375 Factor a perfect square on the left side: (x + -0.125)(x + -0.125) = -2.734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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