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Simplifying 5x + 1(x2 + -6x + 11) = 0 Reorder the terms: 5x + 1(11 + -6x + x2) = 0 5x + (11 * 1 + -6x * 1 + x2 * 1) = 0 5x + (11 + -6x + 1x2) = 0 Reorder the terms: 11 + 5x + -6x + 1x2 = 0 Combine like terms: 5x + -6x = -1x 11 + -1x + 1x2 = 0 Solving 11 + -1x + 1x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + -1x + -11 + x2 = 0 + -11 Reorder the terms: 11 + -11 + -1x + x2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x + x2 = 0 + -11 -1x + x2 = 0 + -11 Combine like terms: 0 + -11 = -11 -1x + x2 = -11 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 = -11 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -11 + 0.25 Combine like terms: -11 + 0.25 = -10.75 0.25 + -1x + x2 = -10.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -10.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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