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Simplifying 5x2 + -8x = -21 Reorder the terms: -8x + 5x2 = -21 Solving -8x + 5x2 = -21 Solving for variable 'x'. Reorder the terms: 21 + -8x + 5x2 = -21 + 21 Combine like terms: -21 + 21 = 0 21 + -8x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 4.2 + -1.6x + x2 = 0 Move the constant term to the right: Add '-4.2' to each side of the equation. 4.2 + -1.6x + -4.2 + x2 = 0 + -4.2 Reorder the terms: 4.2 + -4.2 + -1.6x + x2 = 0 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + -1.6x + x2 = 0 + -4.2 -1.6x + x2 = 0 + -4.2 Combine like terms: 0 + -4.2 = -4.2 -1.6x + x2 = -4.2 The x term is -1.6x. Take half its coefficient (-0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. -1.6x + 0.64 + x2 = -4.2 + 0.64 Reorder the terms: 0.64 + -1.6x + x2 = -4.2 + 0.64 Combine like terms: -4.2 + 0.64 = -3.56 0.64 + -1.6x + x2 = -3.56 Factor a perfect square on the left side: (x + -0.8)(x + -0.8) = -3.56 Can't calculate square root of the right side. The solution to this equation could not be determined.
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