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Simplifying 5x2 = -12x + -16 Reorder the terms: 5x2 = -16 + -12x Solving 5x2 = -16 + -12x Solving for variable 'x'. Reorder the terms: 16 + 12x + 5x2 = -16 + -12x + 16 + 12x Reorder the terms: 16 + 12x + 5x2 = -16 + 16 + -12x + 12x Combine like terms: -16 + 16 = 0 16 + 12x + 5x2 = 0 + -12x + 12x 16 + 12x + 5x2 = -12x + 12x Combine like terms: -12x + 12x = 0 16 + 12x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 3.2 + 2.4x + x2 = 0 Move the constant term to the right: Add '-3.2' to each side of the equation. 3.2 + 2.4x + -3.2 + x2 = 0 + -3.2 Reorder the terms: 3.2 + -3.2 + 2.4x + x2 = 0 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + 2.4x + x2 = 0 + -3.2 2.4x + x2 = 0 + -3.2 Combine like terms: 0 + -3.2 = -3.2 2.4x + x2 = -3.2 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 = -3.2 + 1.44 Reorder the terms: 1.44 + 2.4x + x2 = -3.2 + 1.44 Combine like terms: -3.2 + 1.44 = -1.76 1.44 + 2.4x + x2 = -1.76 Factor a perfect square on the left side: (x + 1.2)(x + 1.2) = -1.76 Can't calculate square root of the right side. The solution to this equation could not be determined.
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