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Simplifying 200x6 + -2x2 = 0 Reorder the terms: -2x2 + 200x6 = 0 Solving -2x2 + 200x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(-1 + 100x4) = 0 Factor a difference between two squares. 2x2((1 + 10x2)(-1 + 10x2)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(1 + 10x2)' equal to zero and attempt to solve: Simplifying 1 + 10x2 = 0 Solving 1 + 10x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 10x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 10x2 = 0 + -1 10x2 = 0 + -1 Combine like terms: 0 + -1 = -1 10x2 = -1 Divide each side by '10'. x2 = -0.1 Simplifying x2 = -0.1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-1 + 10x2)' equal to zero and attempt to solve: Simplifying -1 + 10x2 = 0 Solving -1 + 10x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 10x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 10x2 = 0 + 1 10x2 = 0 + 1 Combine like terms: 0 + 1 = 1 10x2 = 1 Divide each side by '10'. x2 = 0.1 Simplifying x2 = 0.1 Take the square root of each side: x = {-0.316227766, 0.316227766}Solution
x = {0, -0.316227766, 0.316227766}
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