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Simplifying 2x(x + 3) = 4x + -3 Reorder the terms: 2x(3 + x) = 4x + -3 (3 * 2x + x * 2x) = 4x + -3 (6x + 2x2) = 4x + -3 Reorder the terms: 6x + 2x2 = -3 + 4x Solving 6x + 2x2 = -3 + 4x Solving for variable 'x'. Reorder the terms: 3 + 6x + -4x + 2x2 = -3 + 4x + 3 + -4x Combine like terms: 6x + -4x = 2x 3 + 2x + 2x2 = -3 + 4x + 3 + -4x Reorder the terms: 3 + 2x + 2x2 = -3 + 3 + 4x + -4x Combine like terms: -3 + 3 = 0 3 + 2x + 2x2 = 0 + 4x + -4x 3 + 2x + 2x2 = 4x + -4x Combine like terms: 4x + -4x = 0 3 + 2x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 1.5 + x + x2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + x + -1.5 + x2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + x + x2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x + x2 = 0 + -1.5 x + x2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 x + x2 = -1.5 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + x2 = -1.5 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = -1.5 + 0.25 Combine like terms: -1.5 + 0.25 = -1.25 1.25 + x2 = -1.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -1.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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