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Simplifying 5x2 + 12x + 88 = 0 Reorder the terms: 88 + 12x + 5x2 = 0 Solving 88 + 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'. 17.6 + 2.4x + x2 = 0 Move the constant term to the right: Add '-17.6' to each side of the equation. 17.6 + 2.4x + -17.6 + x2 = 0 + -17.6 Reorder the terms: 17.6 + -17.6 + 2.4x + x2 = 0 + -17.6 Combine like terms: 17.6 + -17.6 = 0.0 0.0 + 2.4x + x2 = 0 + -17.6 2.4x + x2 = 0 + -17.6 Combine like terms: 0 + -17.6 = -17.6 2.4x + x2 = -17.6 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 = -17.6 + 1.44 Reorder the terms: 1.44 + 2.4x + x2 = -17.6 + 1.44 Combine like terms: -17.6 + 1.44 = -16.16 1.44 + 2.4x + x2 = -16.16 Factor a perfect square on the left side: (x + 1.2)(x + 1.2) = -16.16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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