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Simplifying -0.75x2 + -3x = 8 Reorder the terms: -3x + -0.75x2 = 8 Solving -3x + -0.75x2 = 8 Solving for variable 'x'. Reorder the terms: -8 + -3x + -0.75x2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + -3x + -0.75x2 = 0 Begin completing the square. Divide all terms by -0.75 the coefficient of the squared term: Divide each side by '-0.75'. 10.66666667 + 4x + x2 = 0 Move the constant term to the right: Add '-10.66666667' to each side of the equation. 10.66666667 + 4x + -10.66666667 + x2 = 0 + -10.66666667 Reorder the terms: 10.66666667 + -10.66666667 + 4x + x2 = 0 + -10.66666667 Combine like terms: 10.66666667 + -10.66666667 = 0.00000000 0.00000000 + 4x + x2 = 0 + -10.66666667 4x + x2 = 0 + -10.66666667 Combine like terms: 0 + -10.66666667 = -10.66666667 4x + x2 = -10.66666667 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -10.66666667 + 4 Reorder the terms: 4 + 4x + x2 = -10.66666667 + 4 Combine like terms: -10.66666667 + 4 = -6.66666667 4 + 4x + x2 = -6.66666667 Factor a perfect square on the left side: (x + 2)(x + 2) = -6.66666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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