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Simplifying x2 + 5(3 + 13) = 5x + -3 Combine like terms: 3 + 13 = 16 x2 + 5(16) = 5x + -3 Multiply 5 * 16 x2 + 80 = 5x + -3 Reorder the terms: 80 + x2 = 5x + -3 Reorder the terms: 80 + x2 = -3 + 5x Solving 80 + x2 = -3 + 5x Solving for variable 'x'. Reorder the terms: 80 + 3 + -5x + x2 = -3 + 5x + 3 + -5x Combine like terms: 80 + 3 = 83 83 + -5x + x2 = -3 + 5x + 3 + -5x Reorder the terms: 83 + -5x + x2 = -3 + 3 + 5x + -5x Combine like terms: -3 + 3 = 0 83 + -5x + x2 = 0 + 5x + -5x 83 + -5x + x2 = 5x + -5x Combine like terms: 5x + -5x = 0 83 + -5x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-83' to each side of the equation. 83 + -5x + -83 + x2 = 0 + -83 Reorder the terms: 83 + -83 + -5x + x2 = 0 + -83 Combine like terms: 83 + -83 = 0 0 + -5x + x2 = 0 + -83 -5x + x2 = 0 + -83 Combine like terms: 0 + -83 = -83 -5x + x2 = -83 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 = -83 + 6.25 Reorder the terms: 6.25 + -5x + x2 = -83 + 6.25 Combine like terms: -83 + 6.25 = -76.75 6.25 + -5x + x2 = -76.75 Factor a perfect square on the left side: (x + -2.5)(x + -2.5) = -76.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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