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Simplifying -5(1 + -5x) + 5x(-8x + -2) = -4x + -8x (1 * -5 + -5x * -5) + 5x(-8x + -2) = -4x + -8x (-5 + 25x) + 5x(-8x + -2) = -4x + -8x Reorder the terms: -5 + 25x + 5x(-2 + -8x) = -4x + -8x -5 + 25x + (-2 * 5x + -8x * 5x) = -4x + -8x -5 + 25x + (-10x + -40x2) = -4x + -8x Combine like terms: 25x + -10x = 15x -5 + 15x + -40x2 = -4x + -8x Combine like terms: -4x + -8x = -12x -5 + 15x + -40x2 = -12x Solving -5 + 15x + -40x2 = -12x Solving for variable 'x'. Reorder the terms: -5 + 15x + 12x + -40x2 = -12x + 12x Combine like terms: 15x + 12x = 27x -5 + 27x + -40x2 = -12x + 12x Combine like terms: -12x + 12x = 0 -5 + 27x + -40x2 = 0 Begin completing the square. Divide all terms by -40 the coefficient of the squared term: Divide each side by '-40'. 0.125 + -0.675x + x2 = 0.0 Move the constant term to the right: Add '-0.125' to each side of the equation. 0.125 + -0.675x + -0.125 + x2 = 0.0 + -0.125 Reorder the terms: 0.125 + -0.125 + -0.675x + x2 = 0.0 + -0.125 Combine like terms: 0.125 + -0.125 = 0.000 0.000 + -0.675x + x2 = 0.0 + -0.125 -0.675x + x2 = 0.0 + -0.125 Combine like terms: 0.0 + -0.125 = -0.125 -0.675x + x2 = -0.125 The x term is -0.675x. Take half its coefficient (-0.3375). Square it (0.11390625) and add it to both sides. Add '0.11390625' to each side of the equation. -0.675x + 0.11390625 + x2 = -0.125 + 0.11390625 Reorder the terms: 0.11390625 + -0.675x + x2 = -0.125 + 0.11390625 Combine like terms: -0.125 + 0.11390625 = -0.01109375 0.11390625 + -0.675x + x2 = -0.01109375 Factor a perfect square on the left side: (x + -0.3375)(x + -0.3375) = -0.01109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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