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Simplifying 5x2 + 12x + 32 = 0 Reorder the terms: 32 + 12x + 5x2 = 0 Solving 32 + 12x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 6.4 + 2.4x + x2 = 0 Move the constant term to the right: Add '-6.4' to each side of the equation. 6.4 + 2.4x + -6.4 + x2 = 0 + -6.4 Reorder the terms: 6.4 + -6.4 + 2.4x + x2 = 0 + -6.4 Combine like terms: 6.4 + -6.4 = 0.0 0.0 + 2.4x + x2 = 0 + -6.4 2.4x + x2 = 0 + -6.4 Combine like terms: 0 + -6.4 = -6.4 2.4x + x2 = -6.4 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 = -6.4 + 1.44 Reorder the terms: 1.44 + 2.4x + x2 = -6.4 + 1.44 Combine like terms: -6.4 + 1.44 = -4.96 1.44 + 2.4x + x2 = -4.96 Factor a perfect square on the left side: (x + 1.2)(x + 1.2) = -4.96 Can't calculate square root of the right side. The solution to this equation could not be determined.
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