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Simplifying 0 = 6x2 + -9x + 5 Reorder the terms: 0 = 5 + -9x + 6x2 Solving 0 = 5 + -9x + 6x2 Solving for variable 'x'. Combine like terms: 0 + -5 = -5 -5 + 9x + -6x2 = 5 + -9x + 6x2 + -5 + 9x + -6x2 Reorder the terms: -5 + 9x + -6x2 = 5 + -5 + -9x + 9x + 6x2 + -6x2 Combine like terms: 5 + -5 = 0 -5 + 9x + -6x2 = 0 + -9x + 9x + 6x2 + -6x2 -5 + 9x + -6x2 = -9x + 9x + 6x2 + -6x2 Combine like terms: -9x + 9x = 0 -5 + 9x + -6x2 = 0 + 6x2 + -6x2 -5 + 9x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -5 + 9x + -6x2 = 0 Begin completing the square. Divide all terms by -6 the coefficient of the squared term: Divide each side by '-6'. 0.8333333333 + -1.5x + x2 = 0 Move the constant term to the right: Add '-0.8333333333' to each side of the equation. 0.8333333333 + -1.5x + -0.8333333333 + x2 = 0 + -0.8333333333 Reorder the terms: 0.8333333333 + -0.8333333333 + -1.5x + x2 = 0 + -0.8333333333 Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000 0.0000000000 + -1.5x + x2 = 0 + -0.8333333333 -1.5x + x2 = 0 + -0.8333333333 Combine like terms: 0 + -0.8333333333 = -0.8333333333 -1.5x + x2 = -0.8333333333 The x term is -1.5x. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5x + 0.5625 + x2 = -0.8333333333 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = -0.8333333333 + 0.5625 Combine like terms: -0.8333333333 + 0.5625 = -0.2708333333 0.5625 + -1.5x + x2 = -0.2708333333 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = -0.2708333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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