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Simplifying 4x2 + 36 + -5x = 0 Reorder the terms: 36 + -5x + 4x2 = 0 Solving 36 + -5x + 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'. 9 + -1.25x + x2 = 0 Move the constant term to the right: Add '-9' to each side of the equation. 9 + -1.25x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + -1.25x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1.25x + x2 = 0 + -9 -1.25x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -1.25x + x2 = -9 The x term is -1.25x. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25x + 0.390625 + x2 = -9 + 0.390625 Reorder the terms: 0.390625 + -1.25x + x2 = -9 + 0.390625 Combine like terms: -9 + 0.390625 = -8.609375 0.390625 + -1.25x + x2 = -8.609375 Factor a perfect square on the left side: (x + -0.625)(x + -0.625) = -8.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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