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Simplifying x(2x + 1) + -1(4x + -5) = 0 Reorder the terms: x(1 + 2x) + -1(4x + -5) = 0 (1 * x + 2x * x) + -1(4x + -5) = 0 (1x + 2x2) + -1(4x + -5) = 0 Reorder the terms: 1x + 2x2 + -1(-5 + 4x) = 0 1x + 2x2 + (-5 * -1 + 4x * -1) = 0 1x + 2x2 + (5 + -4x) = 0 Reorder the terms: 5 + 1x + -4x + 2x2 = 0 Combine like terms: 1x + -4x = -3x 5 + -3x + 2x2 = 0 Solving 5 + -3x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 2.5 + -1.5x + x2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + -1.5x + -2.5 + x2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + -1.5x + x2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -1.5x + x2 = 0 + -2.5 -1.5x + x2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 -1.5x + x2 = -2.5 The x term is -1.5x. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5x + 0.5625 + x2 = -2.5 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = -2.5 + 0.5625 Combine like terms: -2.5 + 0.5625 = -1.9375 0.5625 + -1.5x + x2 = -1.9375 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = -1.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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