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Simplifying 4x2 + -9x + 42 = 0 Reorder the terms: 42 + -9x + 4x2 = 0 Solving 42 + -9x + 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'. 10.5 + -2.25x + x2 = 0 Move the constant term to the right: Add '-10.5' to each side of the equation. 10.5 + -2.25x + -10.5 + x2 = 0 + -10.5 Reorder the terms: 10.5 + -10.5 + -2.25x + x2 = 0 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + -2.25x + x2 = 0 + -10.5 -2.25x + x2 = 0 + -10.5 Combine like terms: 0 + -10.5 = -10.5 -2.25x + x2 = -10.5 The x term is -2.25x. Take half its coefficient (-1.125). Square it (1.265625) and add it to both sides. Add '1.265625' to each side of the equation. -2.25x + 1.265625 + x2 = -10.5 + 1.265625 Reorder the terms: 1.265625 + -2.25x + x2 = -10.5 + 1.265625 Combine like terms: -10.5 + 1.265625 = -9.234375 1.265625 + -2.25x + x2 = -9.234375 Factor a perfect square on the left side: (x + -1.125)(x + -1.125) = -9.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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