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Simplifying 5x(x + -2) + 3(2x + 6) = 0 Reorder the terms: 5x(-2 + x) + 3(2x + 6) = 0 (-2 * 5x + x * 5x) + 3(2x + 6) = 0 (-10x + 5x2) + 3(2x + 6) = 0 Reorder the terms: -10x + 5x2 + 3(6 + 2x) = 0 -10x + 5x2 + (6 * 3 + 2x * 3) = 0 -10x + 5x2 + (18 + 6x) = 0 Reorder the terms: 18 + -10x + 6x + 5x2 = 0 Combine like terms: -10x + 6x = -4x 18 + -4x + 5x2 = 0 Solving 18 + -4x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 3.6 + -0.8x + x2 = 0 Move the constant term to the right: Add '-3.6' to each side of the equation. 3.6 + -0.8x + -3.6 + x2 = 0 + -3.6 Reorder the terms: 3.6 + -3.6 + -0.8x + x2 = 0 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + -0.8x + x2 = 0 + -3.6 -0.8x + x2 = 0 + -3.6 Combine like terms: 0 + -3.6 = -3.6 -0.8x + x2 = -3.6 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 = -3.6 + 0.16 Reorder the terms: 0.16 + -0.8x + x2 = -3.6 + 0.16 Combine like terms: -3.6 + 0.16 = -3.44 0.16 + -0.8x + x2 = -3.44 Factor a perfect square on the left side: (x + -0.4)(x + -0.4) = -3.44 Can't calculate square root of the right side. The solution to this equation could not be determined.
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