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Simplifying -1(5x + -3) * 2x = 11 + -4(x + 2) Reorder the terms: -1(-3 + 5x) * 2x = 11 + -4(x + 2) Reorder the terms for easier multiplication: -1 * 2x(-3 + 5x) = 11 + -4(x + 2) Multiply -1 * 2 -2x(-3 + 5x) = 11 + -4(x + 2) (-3 * -2x + 5x * -2x) = 11 + -4(x + 2) (6x + -10x2) = 11 + -4(x + 2) Reorder the terms: 6x + -10x2 = 11 + -4(2 + x) 6x + -10x2 = 11 + (2 * -4 + x * -4) 6x + -10x2 = 11 + (-8 + -4x) Combine like terms: 11 + -8 = 3 6x + -10x2 = 3 + -4x Solving 6x + -10x2 = 3 + -4x Solving for variable 'x'. Reorder the terms: -3 + 6x + 4x + -10x2 = 3 + -4x + -3 + 4x Combine like terms: 6x + 4x = 10x -3 + 10x + -10x2 = 3 + -4x + -3 + 4x Reorder the terms: -3 + 10x + -10x2 = 3 + -3 + -4x + 4x Combine like terms: 3 + -3 = 0 -3 + 10x + -10x2 = 0 + -4x + 4x -3 + 10x + -10x2 = -4x + 4x Combine like terms: -4x + 4x = 0 -3 + 10x + -10x2 = 0 Begin completing the square. Divide all terms by -10 the coefficient of the squared term: Divide each side by '-10'. 0.3 + -1x + x2 = 0.0 Move the constant term to the right: Add '-0.3' to each side of the equation. 0.3 + -1x + -0.3 + x2 = 0.0 + -0.3 Reorder the terms: 0.3 + -0.3 + -1x + x2 = 0.0 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -1x + x2 = 0.0 + -0.3 -1x + x2 = 0.0 + -0.3 Combine like terms: 0.0 + -0.3 = -0.3 -1x + x2 = -0.3 The x term is -1x. 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. -1x + 0.25 + x2 = -0.3 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -0.3 + 0.25 Combine like terms: -0.3 + 0.25 = -0.05 0.25 + -1x + x2 = -0.05 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -0.05 Can't calculate square root of the right side. The solution to this equation could not be determined.
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