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Simplifying 4x + -1(x + -1)(2x + -1) = 359 Reorder the terms: 4x + -1(-1 + x)(2x + -1) = 359 Reorder the terms: 4x + -1(-1 + x)(-1 + 2x) = 359 Multiply (-1 + x) * (-1 + 2x) 4x + -1(-1(-1 + 2x) + x(-1 + 2x)) = 359 4x + -1((-1 * -1 + 2x * -1) + x(-1 + 2x)) = 359 4x + -1((1 + -2x) + x(-1 + 2x)) = 359 4x + -1(1 + -2x + (-1 * x + 2x * x)) = 359 4x + -1(1 + -2x + (-1x + 2x2)) = 359 Combine like terms: -2x + -1x = -3x 4x + -1(1 + -3x + 2x2) = 359 4x + (1 * -1 + -3x * -1 + 2x2 * -1) = 359 4x + (-1 + 3x + -2x2) = 359 Reorder the terms: -1 + 4x + 3x + -2x2 = 359 Combine like terms: 4x + 3x = 7x -1 + 7x + -2x2 = 359 Solving -1 + 7x + -2x2 = 359 Solving for variable 'x'. Reorder the terms: -1 + -359 + 7x + -2x2 = 359 + -359 Combine like terms: -1 + -359 = -360 -360 + 7x + -2x2 = 359 + -359 Combine like terms: 359 + -359 = 0 -360 + 7x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 180 + -3.5x + x2 = 0 Move the constant term to the right: Add '-180' to each side of the equation. 180 + -3.5x + -180 + x2 = 0 + -180 Reorder the terms: 180 + -180 + -3.5x + x2 = 0 + -180 Combine like terms: 180 + -180 = 0 0 + -3.5x + x2 = 0 + -180 -3.5x + x2 = 0 + -180 Combine like terms: 0 + -180 = -180 -3.5x + x2 = -180 The x term is -3.5x. Take half its coefficient (-1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. -3.5x + 3.0625 + x2 = -180 + 3.0625 Reorder the terms: 3.0625 + -3.5x + x2 = -180 + 3.0625 Combine like terms: -180 + 3.0625 = -176.9375 3.0625 + -3.5x + x2 = -176.9375 Factor a perfect square on the left side: (x + -1.75)(x + -1.75) = -176.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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