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Simplifying 3x + 4 = -1x(x + -6) Reorder the terms: 4 + 3x = -1x(x + -6) Reorder the terms: 4 + 3x = -1x(-6 + x) 4 + 3x = (-6 * -1x + x * -1x) 4 + 3x = (6x + -1x2) Solving 4 + 3x = 6x + -1x2 Solving for variable 'x'. Combine like terms: 3x + -6x = -3x 4 + -3x + x2 = 6x + -1x2 + -6x + x2 Reorder the terms: 4 + -3x + x2 = 6x + -6x + -1x2 + x2 Combine like terms: 6x + -6x = 0 4 + -3x + x2 = 0 + -1x2 + x2 4 + -3x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 4 + -3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-4' to each side of the equation. 4 + -3x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + -3x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x + x2 = 0 + -4 -3x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -3x + x2 = -4 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = -4 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -4 + 2.25 Combine like terms: -4 + 2.25 = -1.75 2.25 + -3x + x2 = -1.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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