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Simplifying 0.75x2 + -6x + 47 = 0 Reorder the terms: 47 + -6x + 0.75x2 = 0 Solving 47 + -6x + 0.75x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.75 the coefficient of the squared term: Divide each side by '0.75'. 62.66666667 + -8x + x2 = 0 Move the constant term to the right: Add '-62.66666667' to each side of the equation. 62.66666667 + -8x + -62.66666667 + x2 = 0 + -62.66666667 Reorder the terms: 62.66666667 + -62.66666667 + -8x + x2 = 0 + -62.66666667 Combine like terms: 62.66666667 + -62.66666667 = 0.00000000 0.00000000 + -8x + x2 = 0 + -62.66666667 -8x + x2 = 0 + -62.66666667 Combine like terms: 0 + -62.66666667 = -62.66666667 -8x + x2 = -62.66666667 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -62.66666667 + 16 Reorder the terms: 16 + -8x + x2 = -62.66666667 + 16 Combine like terms: -62.66666667 + 16 = -46.66666667 16 + -8x + x2 = -46.66666667 Factor a perfect square on the left side: (x + -4)(x + -4) = -46.66666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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