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Simplifying x2 + (2x + -54) + -4x2 = 0 Reorder the terms: x2 + (-54 + 2x) + -4x2 = 0 Remove parenthesis around (-54 + 2x) x2 + -54 + 2x + -4x2 = 0 Reorder the terms: -54 + 2x + x2 + -4x2 = 0 Combine like terms: x2 + -4x2 = -3x2 -54 + 2x + -3x2 = 0 Solving -54 + 2x + -3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. 18 + -0.6666666667x + x2 = 0 Move the constant term to the right: Add '-18' to each side of the equation. 18 + -0.6666666667x + -18 + x2 = 0 + -18 Reorder the terms: 18 + -18 + -0.6666666667x + x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -0.6666666667x + x2 = 0 + -18 -0.6666666667x + x2 = 0 + -18 Combine like terms: 0 + -18 = -18 -0.6666666667x + x2 = -18 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 = -18 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667x + x2 = -18 + 0.1111111112 Combine like terms: -18 + 0.1111111112 = -17.8888888888 0.1111111112 + -0.6666666667x + x2 = -17.8888888888 Factor a perfect square on the left side: (x + -0.3333333334)(x + -0.3333333334) = -17.8888888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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