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Simplifying 9x4 + -1x2 + -96 = 0 Reorder the terms: -96 + -1x2 + 9x4 = 0 Solving -96 + -1x2 + 9x4 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. -10.66666667 + -0.1111111111x2 + x4 = 0 Move the constant term to the right: Add '10.66666667' to each side of the equation. -10.66666667 + -0.1111111111x2 + 10.66666667 + x4 = 0 + 10.66666667 Reorder the terms: -10.66666667 + 10.66666667 + -0.1111111111x2 + x4 = 0 + 10.66666667 Combine like terms: -10.66666667 + 10.66666667 = 0.00000000 0.00000000 + -0.1111111111x2 + x4 = 0 + 10.66666667 -0.1111111111x2 + x4 = 0 + 10.66666667 Combine like terms: 0 + 10.66666667 = 10.66666667 -0.1111111111x2 + x4 = 10.66666667 The x term is -0.1111111111x2. Take half its coefficient (-0.05555555555). Square it (0.003086419752) and add it to both sides. Add '0.003086419752' to each side of the equation. -0.1111111111x2 + 0.003086419752 + x4 = 10.66666667 + 0.003086419752 Reorder the terms: 0.003086419752 + -0.1111111111x2 + x4 = 10.66666667 + 0.003086419752 Combine like terms: 10.66666667 + 0.003086419752 = 10.669753089752 0.003086419752 + -0.1111111111x2 + x4 = 10.669753089752 Factor a perfect square on the left side: (x2 + -0.05555555555)(x2 + -0.05555555555) = 10.669753089752 Calculate the square root of the right side: 3.2664588 Break this problem into two subproblems by setting (x2 + -0.05555555555) equal to 3.2664588 and -3.2664588.Subproblem 1
x2 + -0.05555555555 = 3.2664588 Simplifying x2 + -0.05555555555 = 3.2664588 Reorder the terms: -0.05555555555 + x2 = 3.2664588 Solving -0.05555555555 + x2 = 3.2664588 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.05555555555' to each side of the equation. -0.05555555555 + 0.05555555555 + x2 = 3.2664588 + 0.05555555555 Combine like terms: -0.05555555555 + 0.05555555555 = 0.00000000000 0.00000000000 + x2 = 3.2664588 + 0.05555555555 x2 = 3.2664588 + 0.05555555555 Combine like terms: 3.2664588 + 0.05555555555 = 3.32201435555 x2 = 3.32201435555 Simplifying x2 = 3.32201435555 Take the square root of each side: x = {-1.822639393, 1.822639393}Subproblem 2
x2 + -0.05555555555 = -3.2664588 Simplifying x2 + -0.05555555555 = -3.2664588 Reorder the terms: -0.05555555555 + x2 = -3.2664588 Solving -0.05555555555 + x2 = -3.2664588 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.05555555555' to each side of the equation. -0.05555555555 + 0.05555555555 + x2 = -3.2664588 + 0.05555555555 Combine like terms: -0.05555555555 + 0.05555555555 = 0.00000000000 0.00000000000 + x2 = -3.2664588 + 0.05555555555 x2 = -3.2664588 + 0.05555555555 Combine like terms: -3.2664588 + 0.05555555555 = -3.21090324445 x2 = -3.21090324445 Simplifying x2 = -3.21090324445 Reorder the terms: 3.21090324445 + x2 = -3.21090324445 + 3.21090324445 Combine like terms: -3.21090324445 + 3.21090324445 = 0.00000000000 3.21090324445 + x2 = 0.00000000000 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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