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Simplifying (5x2 + -4x + -1) + -1(-1x2 + -4) = 0 Reorder the terms: (-1 + -4x + 5x2) + -1(-1x2 + -4) = 0 Remove parenthesis around (-1 + -4x + 5x2) -1 + -4x + 5x2 + -1(-1x2 + -4) = 0 Reorder the terms: -1 + -4x + 5x2 + -1(-4 + -1x2) = 0 -1 + -4x + 5x2 + (-4 * -1 + -1x2 * -1) = 0 -1 + -4x + 5x2 + (4 + 1x2) = 0 Reorder the terms: -1 + 4 + -4x + 5x2 + 1x2 = 0 Combine like terms: -1 + 4 = 3 3 + -4x + 5x2 + 1x2 = 0 Combine like terms: 5x2 + 1x2 = 6x2 3 + -4x + 6x2 = 0 Solving 3 + -4x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 0.5 + -0.6666666667x + x2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + -0.6666666667x + -0.5 + x2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + -0.6666666667x + x2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.6666666667x + x2 = 0 + -0.5 -0.6666666667x + x2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -0.6666666667x + x2 = -0.5 The x term is -0.6666666667x. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667x + 0.1111111112 + x2 = -0.5 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667x + x2 = -0.5 + 0.1111111112 Combine like terms: -0.5 + 0.1111111112 = -0.3888888888 0.1111111112 + -0.6666666667x + x2 = -0.3888888888 Factor a perfect square on the left side: (x + -0.3333333334)(x + -0.3333333334) = -0.3888888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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