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Simplifying 5x2 + 6x + 7 = 2(x + 2) Reorder the terms: 7 + 6x + 5x2 = 2(x + 2) Reorder the terms: 7 + 6x + 5x2 = 2(2 + x) 7 + 6x + 5x2 = (2 * 2 + x * 2) 7 + 6x + 5x2 = (4 + 2x) Solving 7 + 6x + 5x2 = 4 + 2x Solving for variable 'x'. Reorder the terms: 7 + -4 + 6x + -2x + 5x2 = 4 + 2x + -4 + -2x Combine like terms: 7 + -4 = 3 3 + 6x + -2x + 5x2 = 4 + 2x + -4 + -2x Combine like terms: 6x + -2x = 4x 3 + 4x + 5x2 = 4 + 2x + -4 + -2x Reorder the terms: 3 + 4x + 5x2 = 4 + -4 + 2x + -2x Combine like terms: 4 + -4 = 0 3 + 4x + 5x2 = 0 + 2x + -2x 3 + 4x + 5x2 = 2x + -2x Combine like terms: 2x + -2x = 0 3 + 4x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.6 + 0.8x + x2 = 0 Move the constant term to the right: Add '-0.6' to each side of the equation. 0.6 + 0.8x + -0.6 + x2 = 0 + -0.6 Reorder the terms: 0.6 + -0.6 + 0.8x + x2 = 0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.8x + x2 = 0 + -0.6 0.8x + x2 = 0 + -0.6 Combine like terms: 0 + -0.6 = -0.6 0.8x + x2 = -0.6 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 = -0.6 + 0.16 Reorder the terms: 0.16 + 0.8x + x2 = -0.6 + 0.16 Combine like terms: -0.6 + 0.16 = -0.44 0.16 + 0.8x + x2 = -0.44 Factor a perfect square on the left side: (x + 0.4)(x + 0.4) = -0.44 Can't calculate square root of the right side. The solution to this equation could not be determined.
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