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Simplifying x + -4x2 = 33 Solving x + -4x2 = 33 Solving for variable 'x'. Reorder the terms: -33 + x + -4x2 = 33 + -33 Combine like terms: 33 + -33 = 0 -33 + x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 8.25 + -0.25x + x2 = 0 Move the constant term to the right: Add '-8.25' to each side of the equation. 8.25 + -0.25x + -8.25 + x2 = 0 + -8.25 Reorder the terms: 8.25 + -8.25 + -0.25x + x2 = 0 + -8.25 Combine like terms: 8.25 + -8.25 = 0.00 0.00 + -0.25x + x2 = 0 + -8.25 -0.25x + x2 = 0 + -8.25 Combine like terms: 0 + -8.25 = -8.25 -0.25x + x2 = -8.25 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.25x + 0.25 + x2 = -8.25 + 0.25 Reorder the terms: 0.25 + -0.25x + x2 = -8.25 + 0.25 Combine like terms: -8.25 + 0.25 = -8 0.25 + -0.25x + x2 = -8 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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