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Simplifying 0 = 5x2 + -12x + 9 Reorder the terms: 0 = 9 + -12x + 5x2 Solving 0 = 9 + -12x + 5x2 Solving for variable 'x'. Combine like terms: 0 + -9 = -9 -9 + 12x + -5x2 = 9 + -12x + 5x2 + -9 + 12x + -5x2 Reorder the terms: -9 + 12x + -5x2 = 9 + -9 + -12x + 12x + 5x2 + -5x2 Combine like terms: 9 + -9 = 0 -9 + 12x + -5x2 = 0 + -12x + 12x + 5x2 + -5x2 -9 + 12x + -5x2 = -12x + 12x + 5x2 + -5x2 Combine like terms: -12x + 12x = 0 -9 + 12x + -5x2 = 0 + 5x2 + -5x2 -9 + 12x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -9 + 12x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 1.8 + -2.4x + x2 = 0 Move the constant term to the right: Add '-1.8' to each side of the equation. 1.8 + -2.4x + -1.8 + x2 = 0 + -1.8 Reorder the terms: 1.8 + -1.8 + -2.4x + x2 = 0 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -2.4x + x2 = 0 + -1.8 -2.4x + x2 = 0 + -1.8 Combine like terms: 0 + -1.8 = -1.8 -2.4x + x2 = -1.8 The x term is -2.4x. Take half its coefficient (-1.2). Square it (1.44) and add it to both sides. Add '1.44' to each side of the equation. -2.4x + 1.44 + x2 = -1.8 + 1.44 Reorder the terms: 1.44 + -2.4x + x2 = -1.8 + 1.44 Combine like terms: -1.8 + 1.44 = -0.36 1.44 + -2.4x + x2 = -0.36 Factor a perfect square on the left side: (x + -1.2)(x + -1.2) = -0.36 Can't calculate square root of the right side. The solution to this equation could not be determined.
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