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Simplifying x(x + -4) + 48 = 0 Reorder the terms: x(-4 + x) + 48 = 0 (-4 * x + x * x) + 48 = 0 (-4x + x2) + 48 = 0 Reorder the terms: 48 + -4x + x2 = 0 Solving 48 + -4x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-48' to each side of the equation. 48 + -4x + -48 + x2 = 0 + -48 Reorder the terms: 48 + -48 + -4x + x2 = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -4x + x2 = 0 + -48 -4x + x2 = 0 + -48 Combine like terms: 0 + -48 = -48 -4x + x2 = -48 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -48 + 4 Reorder the terms: 4 + -4x + x2 = -48 + 4 Combine like terms: -48 + 4 = -44 4 + -4x + x2 = -44 Factor a perfect square on the left side: (x + -2)(x + -2) = -44 Can't calculate square root of the right side. The solution to this equation could not be determined.
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