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Simplifying 14 + -1(x + -4) + 3x = x(3 + -1x) Reorder the terms: 14 + -1(-4 + x) + 3x = x(3 + -1x) 14 + (-4 * -1 + x * -1) + 3x = x(3 + -1x) 14 + (4 + -1x) + 3x = x(3 + -1x) Combine like terms: 14 + 4 = 18 18 + -1x + 3x = x(3 + -1x) Combine like terms: -1x + 3x = 2x 18 + 2x = x(3 + -1x) 18 + 2x = (3 * x + -1x * x) 18 + 2x = (3x + -1x2) Solving 18 + 2x = 3x + -1x2 Solving for variable 'x'. Combine like terms: 2x + -3x = -1x 18 + -1x + x2 = 3x + -1x2 + -3x + x2 Reorder the terms: 18 + -1x + x2 = 3x + -3x + -1x2 + x2 Combine like terms: 3x + -3x = 0 18 + -1x + x2 = 0 + -1x2 + x2 18 + -1x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 18 + -1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-18' to each side of the equation. 18 + -1x + -18 + x2 = 0 + -18 Reorder the terms: 18 + -18 + -1x + x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x + x2 = 0 + -18 -1x + x2 = 0 + -18 Combine like terms: 0 + -18 = -18 -1x + x2 = -18 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 = -18 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -18 + 0.25 Combine like terms: -18 + 0.25 = -17.75 0.25 + -1x + x2 = -17.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -17.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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