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Simplifying (x2 + 0.8)(x2 + 0.8) = 0 Reorder the terms: (0.8 + x2)(x2 + 0.8) = 0 Reorder the terms: (0.8 + x2)(0.8 + x2) = 0 Multiply (0.8 + x2) * (0.8 + x2) (0.8(0.8 + x2) + x2(0.8 + x2)) = 0 ((0.8 * 0.8 + x2 * 0.8) + x2(0.8 + x2)) = 0 ((0.64 + 0.8x2) + x2(0.8 + x2)) = 0 (0.64 + 0.8x2 + (0.8 * x2 + x2 * x2)) = 0 (0.64 + 0.8x2 + (0.8x2 + x4)) = 0 Combine like terms: 0.8x2 + 0.8x2 = 1.6x2 (0.64 + 1.6x2 + x4) = 0 Solving 0.64 + 1.6x2 + x4 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-0.64' to each side of the equation. 0.64 + 1.6x2 + -0.64 + x4 = 0 + -0.64 Reorder the terms: 0.64 + -0.64 + 1.6x2 + x4 = 0 + -0.64 Combine like terms: 0.64 + -0.64 = 0.00 0.00 + 1.6x2 + x4 = 0 + -0.64 1.6x2 + x4 = 0 + -0.64 Combine like terms: 0 + -0.64 = -0.64 1.6x2 + x4 = -0.64 The x term is 1.6x2. Take half its coefficient (0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. 1.6x2 + 0.64 + x4 = -0.64 + 0.64 Reorder the terms: 0.64 + 1.6x2 + x4 = -0.64 + 0.64 Combine like terms: -0.64 + 0.64 = 0.00 0.64 + 1.6x2 + x4 = 0.00 Factor a perfect square on the left side: (x2 + 0.8)(x2 + 0.8) = 0.00 Calculate the square root of the right side: 0.00 Break this problem into two subproblems by setting (x2 + 0.8) equal to 0.00 and 0.00.Subproblem 1
x2 + 0.8 = 0.00 Simplifying x2 + 0.8 = 0.00 Reorder the terms: 0.8 + x2 = 0.00 Solving 0.8 + x2 = 0.00 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + x2 = 0.00 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + x2 = 0.00 + -0.8 x2 = 0.00 + -0.8 Combine like terms: 0.00 + -0.8 = -0.8 x2 = -0.8 Simplifying x2 = -0.8 Reorder the terms: 0.8 + x2 = -0.8 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.8 + 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 + 0.8 = 0.00 Simplifying x2 + 0.8 = 0.00 Reorder the terms: 0.8 + x2 = 0.00 Solving 0.8 + x2 = 0.00 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + x2 = 0.00 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + x2 = 0.00 + -0.8 x2 = 0.00 + -0.8 Combine like terms: 0.00 + -0.8 = -0.8 x2 = -0.8 Simplifying x2 = -0.8 Reorder the terms: 0.8 + x2 = -0.8 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.8 + 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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