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Simplifying (x4) + -1(2x2) = -45 x4 + -1(2x2) = -45 Remove parenthesis around (2x2) x4 + -1 * 2x2 = -45 Multiply -1 * 2 x4 + -2x2 = -45 Reorder the terms: -2x2 + x4 = -45 Solving -2x2 + x4 = -45 Solving for variable 'x'. Reorder the terms: 45 + -2x2 + x4 = -45 + 45 Combine like terms: -45 + 45 = 0 45 + -2x2 + x4 = 0 Begin completing the square. Move the constant term to the right: Add '-45' to each side of the equation. 45 + -2x2 + -45 + x4 = 0 + -45 Reorder the terms: 45 + -45 + -2x2 + x4 = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -2x2 + x4 = 0 + -45 -2x2 + x4 = 0 + -45 Combine like terms: 0 + -45 = -45 -2x2 + x4 = -45 The x term is -2x2. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x2 + 1 + x4 = -45 + 1 Reorder the terms: 1 + -2x2 + x4 = -45 + 1 Combine like terms: -45 + 1 = -44 1 + -2x2 + x4 = -44 Factor a perfect square on the left side: (x2 + -1)(x2 + -1) = -44 Can't calculate square root of the right side. The solution to this equation could not be determined.
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