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Simplifying 4x4 + 0.1x2 + -0.000000000034 = 0 Reorder the terms: -0.000000000034 + 0.1x2 + 4x4 = 0 Solving -0.000000000034 + 0.1x2 + 4x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -0.0000000000085 + 0.025x2 + x4 = 0 Move the constant term to the right: Add '0.0000000000085' to each side of the equation. -0.0000000000085 + 0.025x2 + 0.0000000000085 + x4 = 0 + 0.0000000000085 Reorder the terms: -0.0000000000085 + 0.0000000000085 + 0.025x2 + x4 = 0 + 0.0000000000085 Combine like terms: -0.0000000000085 + 0.0000000000085 = 0.0000000000000 0.0000000000000 + 0.025x2 + x4 = 0 + 0.0000000000085 0.025x2 + x4 = 0 + 0.0000000000085 Combine like terms: 0 + 0.0000000000085 = 0.0000000000085 0.025x2 + x4 = 0.0000000000085 The x term is 0.025x2. Take half its coefficient (0.0125). Square it (0.00015625) and add it to both sides. Add '0.00015625' to each side of the equation. 0.025x2 + 0.00015625 + x4 = 0.0000000000085 + 0.00015625 Reorder the terms: 0.00015625 + 0.025x2 + x4 = 0.0000000000085 + 0.00015625 Combine like terms: 0.0000000000085 + 0.00015625 = 0.0001562500085 0.00015625 + 0.025x2 + x4 = 0.0001562500085 Factor a perfect square on the left side: (x2 + 0.0125)(x2 + 0.0125) = 0.0001562500085 Calculate the square root of the right side: 0.0125 Break this problem into two subproblems by setting (x2 + 0.0125) equal to 0.0125 and -0.0125.Subproblem 1
x2 + 0.0125 = 0.0125 Simplifying x2 + 0.0125 = 0.0125 Reorder the terms: 0.0125 + x2 = 0.0125 Add '-0.0125' to each side of the equation. 0.0125 + -0.0125 + x2 = 0.0125 + -0.0125 Combine like terms: 0.0125 + -0.0125 = 0.0000 0.0000 + x2 = 0.0125 + -0.0125 x2 = 0.0125 + -0.0125 Combine like terms: 0.0125 + -0.0125 = 0.0000 x2 = 0.0000 Solving x2 = 0.0000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0.0000 Take the square root of each side: x = {0.0000}Subproblem 2
x2 + 0.0125 = -0.0125 Simplifying x2 + 0.0125 = -0.0125 Reorder the terms: 0.0125 + x2 = -0.0125 Solving 0.0125 + x2 = -0.0125 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.0125' to each side of the equation. 0.0125 + -0.0125 + x2 = -0.0125 + -0.0125 Combine like terms: 0.0125 + -0.0125 = 0.0000 0.0000 + x2 = -0.0125 + -0.0125 x2 = -0.0125 + -0.0125 Combine like terms: -0.0125 + -0.0125 = -0.025 x2 = -0.025 Simplifying x2 = -0.025 Reorder the terms: 0.025 + x2 = -0.025 + 0.025 Combine like terms: -0.025 + 0.025 = 0.000 0.025 + x2 = 0.000 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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