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Simplifying (6x2 + 16) = (5x2 + 3x) Reorder the terms: (16 + 6x2) = (5x2 + 3x) Remove parenthesis around (16 + 6x2) 16 + 6x2 = (5x2 + 3x) Reorder the terms: 16 + 6x2 = (3x + 5x2) Remove parenthesis around (3x + 5x2) 16 + 6x2 = 3x + 5x2 Solving 16 + 6x2 = 3x + 5x2 Solving for variable 'x'. Reorder the terms: 16 + -3x + 6x2 + -5x2 = 3x + 5x2 + -3x + -5x2 Combine like terms: 6x2 + -5x2 = 1x2 16 + -3x + 1x2 = 3x + 5x2 + -3x + -5x2 Reorder the terms: 16 + -3x + 1x2 = 3x + -3x + 5x2 + -5x2 Combine like terms: 3x + -3x = 0 16 + -3x + 1x2 = 0 + 5x2 + -5x2 16 + -3x + 1x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 16 + -3x + 1x2 = 0 Begin completing the square. Move the constant term to the right: Add '-16' to each side of the equation. 16 + -3x + -16 + x2 = 0 + -16 Reorder the terms: 16 + -16 + -3x + x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -3x + x2 = 0 + -16 -3x + x2 = 0 + -16 Combine like terms: 0 + -16 = -16 -3x + x2 = -16 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 = -16 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -16 + 2.25 Combine like terms: -16 + 2.25 = -13.75 2.25 + -3x + x2 = -13.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -13.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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