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Simplifying x2 + 4x + -10x + 40 = 0 Reorder the terms: 40 + 4x + -10x + x2 = 0 Combine like terms: 4x + -10x = -6x 40 + -6x + x2 = 0 Solving 40 + -6x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-40' to each side of the equation. 40 + -6x + -40 + x2 = 0 + -40 Reorder the terms: 40 + -40 + -6x + x2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -6x + x2 = 0 + -40 -6x + x2 = 0 + -40 Combine like terms: 0 + -40 = -40 -6x + x2 = -40 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -40 + 9 Reorder the terms: 9 + -6x + x2 = -40 + 9 Combine like terms: -40 + 9 = -31 9 + -6x + x2 = -31 Factor a perfect square on the left side: (x + -3)(x + -3) = -31 Can't calculate square root of the right side. The solution to this equation could not be determined.
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