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Simplifying 5x2 = 10x + -16 Reorder the terms: 5x2 = -16 + 10x Solving 5x2 = -16 + 10x Solving for variable 'x'. Reorder the terms: 16 + -10x + 5x2 = -16 + 10x + 16 + -10x Reorder the terms: 16 + -10x + 5x2 = -16 + 16 + 10x + -10x Combine like terms: -16 + 16 = 0 16 + -10x + 5x2 = 0 + 10x + -10x 16 + -10x + 5x2 = 10x + -10x Combine like terms: 10x + -10x = 0 16 + -10x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 3.2 + -2x + x2 = 0 Move the constant term to the right: Add '-3.2' to each side of the equation. 3.2 + -2x + -3.2 + x2 = 0 + -3.2 Reorder the terms: 3.2 + -3.2 + -2x + x2 = 0 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + -2x + x2 = 0 + -3.2 -2x + x2 = 0 + -3.2 Combine like terms: 0 + -3.2 = -3.2 -2x + x2 = -3.2 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -3.2 + 1 Reorder the terms: 1 + -2x + x2 = -3.2 + 1 Combine like terms: -3.2 + 1 = -2.2 1 + -2x + x2 = -2.2 Factor a perfect square on the left side: (x + -1)(x + -1) = -2.2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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