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Simplifying 0 = 4x2 + -1x + 9 Reorder the terms: 0 = 9 + -1x + 4x2 Solving 0 = 9 + -1x + 4x2 Solving for variable 'x'. Combine like terms: 0 + -9 = -9 -9 + x + -4x2 = 9 + -1x + 4x2 + -9 + x + -4x2 Reorder the terms: -9 + x + -4x2 = 9 + -9 + -1x + x + 4x2 + -4x2 Combine like terms: 9 + -9 = 0 -9 + x + -4x2 = 0 + -1x + x + 4x2 + -4x2 -9 + x + -4x2 = -1x + x + 4x2 + -4x2 Combine like terms: -1x + x = 0 -9 + x + -4x2 = 0 + 4x2 + -4x2 -9 + x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -9 + x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 2.25 + -0.25x + x2 = 0 Move the constant term to the right: Add '-2.25' to each side of the equation. 2.25 + -0.25x + -2.25 + x2 = 0 + -2.25 Reorder the terms: 2.25 + -2.25 + -0.25x + x2 = 0 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + -0.25x + x2 = 0 + -2.25 -0.25x + x2 = 0 + -2.25 Combine like terms: 0 + -2.25 = -2.25 -0.25x + x2 = -2.25 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 = -2.25 + 0.25 Reorder the terms: 0.25 + -0.25x + x2 = -2.25 + 0.25 Combine like terms: -2.25 + 0.25 = -2 0.25 + -0.25x + x2 = -2 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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