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Simplifying 29 + x(x + -4) = (x + -3) Reorder the terms: 29 + x(-4 + x) = (x + -3) 29 + (-4 * x + x * x) = (x + -3) 29 + (-4x + x2) = (x + -3) Reorder the terms: 29 + -4x + x2 = (-3 + x) Remove parenthesis around (-3 + x) 29 + -4x + x2 = -3 + x Solving 29 + -4x + x2 = -3 + x Solving for variable 'x'. Reorder the terms: 29 + 3 + -4x + -1x + x2 = -3 + x + 3 + -1x Combine like terms: 29 + 3 = 32 32 + -4x + -1x + x2 = -3 + x + 3 + -1x Combine like terms: -4x + -1x = -5x 32 + -5x + x2 = -3 + x + 3 + -1x Reorder the terms: 32 + -5x + x2 = -3 + 3 + x + -1x Combine like terms: -3 + 3 = 0 32 + -5x + x2 = 0 + x + -1x 32 + -5x + x2 = x + -1x Combine like terms: x + -1x = 0 32 + -5x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-32' to each side of the equation. 32 + -5x + -32 + x2 = 0 + -32 Reorder the terms: 32 + -32 + -5x + x2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -5x + x2 = 0 + -32 -5x + x2 = 0 + -32 Combine like terms: 0 + -32 = -32 -5x + x2 = -32 The x term is -5x. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5x + 6.25 + x2 = -32 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -32 + 6.25 Combine like terms: -32 + 6.25 = -25.75 6.25 + -5x + x2 = -25.75 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -25.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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