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Simplifying 4x + 5x2 = 8x + -7 Reorder the terms: 4x + 5x2 = -7 + 8x Solving 4x + 5x2 = -7 + 8x Solving for variable 'x'. Reorder the terms: 7 + 4x + -8x + 5x2 = -7 + 8x + 7 + -8x Combine like terms: 4x + -8x = -4x 7 + -4x + 5x2 = -7 + 8x + 7 + -8x Reorder the terms: 7 + -4x + 5x2 = -7 + 7 + 8x + -8x Combine like terms: -7 + 7 = 0 7 + -4x + 5x2 = 0 + 8x + -8x 7 + -4x + 5x2 = 8x + -8x Combine like terms: 8x + -8x = 0 7 + -4x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.4 + -0.8x + x2 = 0 Move the constant term to the right: Add '-1.4' to each side of the equation. 1.4 + -0.8x + -1.4 + x2 = 0 + -1.4 Reorder the terms: 1.4 + -1.4 + -0.8x + x2 = 0 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -0.8x + x2 = 0 + -1.4 -0.8x + x2 = 0 + -1.4 Combine like terms: 0 + -1.4 = -1.4 -0.8x + x2 = -1.4 The x term is -0.8x. Take half its coefficient (-0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. -0.8x + 0.16 + x2 = -1.4 + 0.16 Reorder the terms: 0.16 + -0.8x + x2 = -1.4 + 0.16 Combine like terms: -1.4 + 0.16 = -1.24 0.16 + -0.8x + x2 = -1.24 Factor a perfect square on the left side: (x + -0.4)(x + -0.4) = -1.24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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