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Simplifying (x2 + 16) + -5 = 2x + 3 Reorder the terms: (16 + x2) + -5 = 2x + 3 Remove parenthesis around (16 + x2) 16 + x2 + -5 = 2x + 3 Reorder the terms: 16 + -5 + x2 = 2x + 3 Combine like terms: 16 + -5 = 11 11 + x2 = 2x + 3 Reorder the terms: 11 + x2 = 3 + 2x Solving 11 + x2 = 3 + 2x Solving for variable 'x'. Reorder the terms: 11 + -3 + -2x + x2 = 3 + 2x + -3 + -2x Combine like terms: 11 + -3 = 8 8 + -2x + x2 = 3 + 2x + -3 + -2x Reorder the terms: 8 + -2x + x2 = 3 + -3 + 2x + -2x Combine like terms: 3 + -3 = 0 8 + -2x + x2 = 0 + 2x + -2x 8 + -2x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 8 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + -2x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + -2x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2x + x2 = 0 + -8 -2x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -2x + x2 = -8 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -8 + 1 Reorder the terms: 1 + -2x + x2 = -8 + 1 Combine like terms: -8 + 1 = -7 1 + -2x + x2 = -7 Factor a perfect square on the left side: (x + -1)(x + -1) = -7 Can't calculate square root of the right side. The solution to this equation could not be determined.
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