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Simplifying 2(x2) + 2x + 5 = (x2) + -4 Reorder the terms: 5 + 2x + 2x2 = (x2) + -4 5 + 2x + 2x2 = x2 + -4 Reorder the terms: 5 + 2x + 2x2 = -4 + x2 Solving 5 + 2x + 2x2 = -4 + x2 Solving for variable 'x'. Reorder the terms: 5 + 4 + 2x + 2x2 + -1x2 = -4 + x2 + 4 + -1x2 Combine like terms: 5 + 4 = 9 9 + 2x + 2x2 + -1x2 = -4 + x2 + 4 + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 9 + 2x + 1x2 = -4 + x2 + 4 + -1x2 Reorder the terms: 9 + 2x + 1x2 = -4 + 4 + x2 + -1x2 Combine like terms: -4 + 4 = 0 9 + 2x + 1x2 = 0 + x2 + -1x2 9 + 2x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9 + 2x + 1x2 = 0 Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + 2x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + 2x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x + x2 = 0 + -9 2x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 2x + x2 = -9 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 = -9 + 1 Reorder the terms: 1 + 2x + x2 = -9 + 1 Combine like terms: -9 + 1 = -8 1 + 2x + x2 = -8 Factor a perfect square on the left side: (x + 1)(x + 1) = -8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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