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Simplifying 5x2 + 6 = 2x Reorder the terms: 6 + 5x2 = 2x Solving 6 + 5x2 = 2x Solving for variable 'x'. Reorder the terms: 6 + -2x + 5x2 = 2x + -2x Combine like terms: 2x + -2x = 0 6 + -2x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.2 + -0.4x + x2 = 0 Move the constant term to the right: Add '-1.2' to each side of the equation. 1.2 + -0.4x + -1.2 + x2 = 0 + -1.2 Reorder the terms: 1.2 + -1.2 + -0.4x + x2 = 0 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -0.4x + x2 = 0 + -1.2 -0.4x + x2 = 0 + -1.2 Combine like terms: 0 + -1.2 = -1.2 -0.4x + x2 = -1.2 The x term is -0.4x. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4x + 0.04 + x2 = -1.2 + 0.04 Reorder the terms: 0.04 + -0.4x + x2 = -1.2 + 0.04 Combine like terms: -1.2 + 0.04 = -1.16 0.04 + -0.4x + x2 = -1.16 Factor a perfect square on the left side: (x + -0.2)(x + -0.2) = -1.16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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