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Simplifying X8 + 48x8 + -49 = 0 Reorder the terms: -49 + X8 + 48x8 = 0 Solving -49 + X8 + 48x8 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '49' to each side of the equation. -49 + X8 + 49 + 48x8 = 0 + 49 Reorder the terms: -49 + 49 + X8 + 48x8 = 0 + 49 Combine like terms: -49 + 49 = 0 0 + X8 + 48x8 = 0 + 49 X8 + 48x8 = 0 + 49 Combine like terms: 0 + 49 = 49 X8 + 48x8 = 49 Add '-48x8' to each side of the equation. X8 + 48x8 + -48x8 = 49 + -48x8 Combine like terms: 48x8 + -48x8 = 0 X8 + 0 = 49 + -48x8 X8 = 49 + -48x8 Simplifying X8 = 49 + -48x8 Reorder the terms: -49 + X8 + 48x8 = 49 + -48x8 + -49 + 48x8 Reorder the terms: -49 + X8 + 48x8 = 49 + -49 + -48x8 + 48x8 Combine like terms: 49 + -49 = 0 -49 + X8 + 48x8 = 0 + -48x8 + 48x8 -49 + X8 + 48x8 = -48x8 + 48x8 Combine like terms: -48x8 + 48x8 = 0 -49 + X8 + 48x8 = 0 Factor a trinomial. (X4 + -48x4)(X4 + -1x4) = 0 Factor a difference between two squares. (X4 + -48x4)((X2 + x2)(X2 + -1x2)) = 0 Factor a difference between two squares. (X4 + -48x4)((X2 + x2)((X + x)(X + -1x))) = 0Subproblem 1
Set the factor '(X4 + -48x4)' equal to zero and attempt to solve: Simplifying X4 + -48x4 = 0 Solving X4 + -48x4 = 0 Move all terms containing X to the left, all other terms to the right. Add '48x4' to each side of the equation. X4 + -48x4 + 48x4 = 0 + 48x4 Combine like terms: -48x4 + 48x4 = 0 X4 + 0 = 0 + 48x4 X4 = 0 + 48x4 Remove the zero: X4 = 48x4 Simplifying X4 = 48x4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(X2 + x2)' equal to zero and attempt to solve: Simplifying X2 + x2 = 0 Solving X2 + x2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-1x2' to each side of the equation. X2 + x2 + -1x2 = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 X2 + 0 = 0 + -1x2 X2 = 0 + -1x2 Remove the zero: X2 = -1x2 Simplifying X2 = -1x2 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 '(X + x)' equal to zero and attempt to solve: Simplifying X + x = 0 Solving X + x = 0 Move all terms containing X to the left, all other terms to the right. Add '-1x' to each side of the equation. X + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 X + 0 = 0 + -1x X = 0 + -1x Remove the zero: X = -1x Simplifying X = -1xSubproblem 4
Set the factor '(X + -1x)' equal to zero and attempt to solve: Simplifying X + -1x = 0 Solving X + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add 'x' to each side of the equation. X + -1x + x = 0 + x Combine like terms: -1x + x = 0 X + 0 = 0 + x X = 0 + x Remove the zero: X = x Simplifying X = xSolution
X = {-1x, x}
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