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Simplifying x2 + 11 + 15 = 4x + 3 Reorder the terms: 11 + 15 + x2 = 4x + 3 Combine like terms: 11 + 15 = 26 26 + x2 = 4x + 3 Reorder the terms: 26 + x2 = 3 + 4x Solving 26 + x2 = 3 + 4x Solving for variable 'x'. Reorder the terms: 26 + -3 + -4x + x2 = 3 + 4x + -3 + -4x Combine like terms: 26 + -3 = 23 23 + -4x + x2 = 3 + 4x + -3 + -4x Reorder the terms: 23 + -4x + x2 = 3 + -3 + 4x + -4x Combine like terms: 3 + -3 = 0 23 + -4x + x2 = 0 + 4x + -4x 23 + -4x + x2 = 4x + -4x Combine like terms: 4x + -4x = 0 23 + -4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-23' to each side of the equation. 23 + -4x + -23 + x2 = 0 + -23 Reorder the terms: 23 + -23 + -4x + x2 = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -4x + x2 = 0 + -23 -4x + x2 = 0 + -23 Combine like terms: 0 + -23 = -23 -4x + x2 = -23 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -23 + 4 Reorder the terms: 4 + -4x + x2 = -23 + 4 Combine like terms: -23 + 4 = -19 4 + -4x + x2 = -19 Factor a perfect square on the left side: (x + -2)(x + -2) = -19 Can't calculate square root of the right side. The solution to this equation could not be determined.
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