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Simplifying (576 + x2) = (3x + 4) Remove parenthesis around (576 + x2) 576 + x2 = (3x + 4) Reorder the terms: 576 + x2 = (4 + 3x) Remove parenthesis around (4 + 3x) 576 + x2 = 4 + 3x Solving 576 + x2 = 4 + 3x Solving for variable 'x'. Reorder the terms: 576 + -4 + -3x + x2 = 4 + 3x + -4 + -3x Combine like terms: 576 + -4 = 572 572 + -3x + x2 = 4 + 3x + -4 + -3x Reorder the terms: 572 + -3x + x2 = 4 + -4 + 3x + -3x Combine like terms: 4 + -4 = 0 572 + -3x + x2 = 0 + 3x + -3x 572 + -3x + x2 = 3x + -3x Combine like terms: 3x + -3x = 0 572 + -3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-572' to each side of the equation. 572 + -3x + -572 + x2 = 0 + -572 Reorder the terms: 572 + -572 + -3x + x2 = 0 + -572 Combine like terms: 572 + -572 = 0 0 + -3x + x2 = 0 + -572 -3x + x2 = 0 + -572 Combine like terms: 0 + -572 = -572 -3x + x2 = -572 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 = -572 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -572 + 2.25 Combine like terms: -572 + 2.25 = -569.75 2.25 + -3x + x2 = -569.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -569.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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