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Simplifying 5 = -3x2 + -6x Reorder the terms: 5 = -6x + -3x2 Solving 5 = -6x + -3x2 Solving for variable 'x'. Reorder the terms: 5 + 6x + 3x2 = -6x + 6x + -3x2 + 3x2 Combine like terms: -6x + 6x = 0 5 + 6x + 3x2 = 0 + -3x2 + 3x2 5 + 6x + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 5 + 6x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 1.666666667 + 2x + x2 = 0 Move the constant term to the right: Add '-1.666666667' to each side of the equation. 1.666666667 + 2x + -1.666666667 + x2 = 0 + -1.666666667 Reorder the terms: 1.666666667 + -1.666666667 + 2x + x2 = 0 + -1.666666667 Combine like terms: 1.666666667 + -1.666666667 = 0.000000000 0.000000000 + 2x + x2 = 0 + -1.666666667 2x + x2 = 0 + -1.666666667 Combine like terms: 0 + -1.666666667 = -1.666666667 2x + x2 = -1.666666667 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -1.666666667 + 1 Reorder the terms: 1 + 2x + x2 = -1.666666667 + 1 Combine like terms: -1.666666667 + 1 = -0.666666667 1 + 2x + x2 = -0.666666667 Factor a perfect square on the left side: (x + 1)(x + 1) = -0.666666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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