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Simplifying 147 + -28x + 4x2 = 0 Solving 147 + -28x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 36.75 + -7x + x2 = 0 Move the constant term to the right: Add '-36.75' to each side of the equation. 36.75 + -7x + -36.75 + x2 = 0 + -36.75 Reorder the terms: 36.75 + -36.75 + -7x + x2 = 0 + -36.75 Combine like terms: 36.75 + -36.75 = 0.00 0.00 + -7x + x2 = 0 + -36.75 -7x + x2 = 0 + -36.75 Combine like terms: 0 + -36.75 = -36.75 -7x + x2 = -36.75 The x term is -7x. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7x + 12.25 + x2 = -36.75 + 12.25 Reorder the terms: 12.25 + -7x + x2 = -36.75 + 12.25 Combine like terms: -36.75 + 12.25 = -24.5 12.25 + -7x + x2 = -24.5 Factor a perfect square on the left side: (x + -3.5)(x + -3.5) = -24.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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