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Simplifying (4x2 + 6x + -2) + (6x2 + -9x + 5) = 0 Reorder the terms: (-2 + 6x + 4x2) + (6x2 + -9x + 5) = 0 Remove parenthesis around (-2 + 6x + 4x2) -2 + 6x + 4x2 + (6x2 + -9x + 5) = 0 Reorder the terms: -2 + 6x + 4x2 + (5 + -9x + 6x2) = 0 Remove parenthesis around (5 + -9x + 6x2) -2 + 6x + 4x2 + 5 + -9x + 6x2 = 0 Reorder the terms: -2 + 5 + 6x + -9x + 4x2 + 6x2 = 0 Combine like terms: -2 + 5 = 3 3 + 6x + -9x + 4x2 + 6x2 = 0 Combine like terms: 6x + -9x = -3x 3 + -3x + 4x2 + 6x2 = 0 Combine like terms: 4x2 + 6x2 = 10x2 3 + -3x + 10x2 = 0 Solving 3 + -3x + 10x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.3 + -0.3x + x2 = 0.0 Move the constant term to the right: Add '-0.3' to each side of the equation. 0.3 + -0.3x + -0.3 + x2 = 0.0 + -0.3 Reorder the terms: 0.3 + -0.3 + -0.3x + x2 = 0.0 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -0.3x + x2 = 0.0 + -0.3 -0.3x + x2 = 0.0 + -0.3 Combine like terms: 0.0 + -0.3 = -0.3 -0.3x + x2 = -0.3 The x term is -0.3x. Take half its coefficient (-0.15). Square it (0.0225) and add it to both sides. Add '0.0225' to each side of the equation. -0.3x + 0.0225 + x2 = -0.3 + 0.0225 Reorder the terms: 0.0225 + -0.3x + x2 = -0.3 + 0.0225 Combine like terms: -0.3 + 0.0225 = -0.2775 0.0225 + -0.3x + x2 = -0.2775 Factor a perfect square on the left side: (x + -0.15)(x + -0.15) = -0.2775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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