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Simplifying (x2 + 1.4)(x2 + 1.4) = 0 Reorder the terms: (1.4 + x2)(x2 + 1.4) = 0 Reorder the terms: (1.4 + x2)(1.4 + x2) = 0 Multiply (1.4 + x2) * (1.4 + x2) (1.4(1.4 + x2) + x2(1.4 + x2)) = 0 ((1.4 * 1.4 + x2 * 1.4) + x2(1.4 + x2)) = 0 ((1.96 + 1.4x2) + x2(1.4 + x2)) = 0 (1.96 + 1.4x2 + (1.4 * x2 + x2 * x2)) = 0 (1.96 + 1.4x2 + (1.4x2 + x4)) = 0 Combine like terms: 1.4x2 + 1.4x2 = 2.8x2 (1.96 + 2.8x2 + x4) = 0 Solving 1.96 + 2.8x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-1.96' to each side of the equation. 1.96 + 2.8x2 + -1.96 + x4 = 0 + -1.96 Reorder the terms: 1.96 + -1.96 + 2.8x2 + x4 = 0 + -1.96 Combine like terms: 1.96 + -1.96 = 0.00 0.00 + 2.8x2 + x4 = 0 + -1.96 2.8x2 + x4 = 0 + -1.96 Combine like terms: 0 + -1.96 = -1.96 2.8x2 + x4 = -1.96 The x term is 2.8x2. Take half its coefficient (1.4). Square it (1.96) and add it to both sides. Add '1.96' to each side of the equation. 2.8x2 + 1.96 + x4 = -1.96 + 1.96 Reorder the terms: 1.96 + 2.8x2 + x4 = -1.96 + 1.96 Combine like terms: -1.96 + 1.96 = 0.00 1.96 + 2.8x2 + x4 = 0.00 Factor a perfect square on the left side: (x2 + 1.4)(x2 + 1.4) = 0.00 Calculate the square root of the right side: 0.00 Break this problem into two subproblems by setting (x2 + 1.4) equal to 0.00 and 0.00.Subproblem 1
x2 + 1.4 = 0.00 Simplifying x2 + 1.4 = 0.00 Reorder the terms: 1.4 + x2 = 0.00 Solving 1.4 + x2 = 0.00 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4' to each side of the equation. 1.4 + -1.4 + x2 = 0.00 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + x2 = 0.00 + -1.4 x2 = 0.00 + -1.4 Combine like terms: 0.00 + -1.4 = -1.4 x2 = -1.4 Simplifying x2 = -1.4 Reorder the terms: 1.4 + x2 = -1.4 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 1.4 + x2 = 0.0 The solution to this equation could not be determined.This subproblem is being ignored because a solution could not be determined.Subproblem 2
x2 + 1.4 = 0.00 Simplifying x2 + 1.4 = 0.00 Reorder the terms: 1.4 + x2 = 0.00 Solving 1.4 + x2 = 0.00 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4' to each side of the equation. 1.4 + -1.4 + x2 = 0.00 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + x2 = 0.00 + -1.4 x2 = 0.00 + -1.4 Combine like terms: 0.00 + -1.4 = -1.4 x2 = -1.4 Simplifying x2 = -1.4 Reorder the terms: 1.4 + x2 = -1.4 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 1.4 + x2 = 0.0 The solution to this equation could not be determined.This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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