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Simplifying 5x2 + -14x + 32 = 0 Reorder the terms: 32 + -14x + 5x2 = 0 Solving 32 + -14x + 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 + -2.8x + x2 = 0 Move the constant term to the right: Add '-6.4' to each side of the equation. 6.4 + -2.8x + -6.4 + x2 = 0 + -6.4 Reorder the terms: 6.4 + -6.4 + -2.8x + x2 = 0 + -6.4 Combine like terms: 6.4 + -6.4 = 0.0 0.0 + -2.8x + x2 = 0 + -6.4 -2.8x + x2 = 0 + -6.4 Combine like terms: 0 + -6.4 = -6.4 -2.8x + x2 = -6.4 The x term is -2.8x. Take half its coefficient (-1.4). Square it (1.96) and add it to both sides. Add '1.96' to each side of the equation. -2.8x + 1.96 + x2 = -6.4 + 1.96 Reorder the terms: 1.96 + -2.8x + x2 = -6.4 + 1.96 Combine like terms: -6.4 + 1.96 = -4.44 1.96 + -2.8x + x2 = -4.44 Factor a perfect square on the left side: (x + -1.4)(x + -1.4) = -4.44 Can't calculate square root of the right side. The solution to this equation could not be determined.
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