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Simplifying 4x = 5x2 + 6 Reorder the terms: 4x = 6 + 5x2 Solving 4x = 6 + 5x2 Solving for variable 'x'. Reorder the terms: -6 + 4x + -5x2 = 6 + 5x2 + -6 + -5x2 Reorder the terms: -6 + 4x + -5x2 = 6 + -6 + 5x2 + -5x2 Combine like terms: 6 + -6 = 0 -6 + 4x + -5x2 = 0 + 5x2 + -5x2 -6 + 4x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -6 + 4x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 1.2 + -0.8x + x2 = 0 Move the constant term to the right: Add '-1.2' to each side of the equation. 1.2 + -0.8x + -1.2 + x2 = 0 + -1.2 Reorder the terms: 1.2 + -1.2 + -0.8x + x2 = 0 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -0.8x + x2 = 0 + -1.2 -0.8x + x2 = 0 + -1.2 Combine like terms: 0 + -1.2 = -1.2 -0.8x + x2 = -1.2 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 = -1.2 + 0.16 Reorder the terms: 0.16 + -0.8x + x2 = -1.2 + 0.16 Combine like terms: -1.2 + 0.16 = -1.04 0.16 + -0.8x + x2 = -1.04 Factor a perfect square on the left side: (x + -0.4)(x + -0.4) = -1.04 Can't calculate square root of the right side. The solution to this equation could not be determined.
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