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Simplifying x4 + -1x2 = 46x2 + 98 Reorder the terms: -1x2 + x4 = 46x2 + 98 Reorder the terms: -1x2 + x4 = 98 + 46x2 Solving -1x2 + x4 = 98 + 46x2 Solving for variable 'x'. Reorder the terms: -98 + -1x2 + -46x2 + x4 = 98 + 46x2 + -98 + -46x2 Combine like terms: -1x2 + -46x2 = -47x2 -98 + -47x2 + x4 = 98 + 46x2 + -98 + -46x2 Reorder the terms: -98 + -47x2 + x4 = 98 + -98 + 46x2 + -46x2 Combine like terms: 98 + -98 = 0 -98 + -47x2 + x4 = 0 + 46x2 + -46x2 -98 + -47x2 + x4 = 46x2 + -46x2 Combine like terms: 46x2 + -46x2 = 0 -98 + -47x2 + x4 = 0 Factor a trinomial. (-2 + -1x2)(49 + -1x2) = 0 Factor a difference between two squares. (-2 + -1x2)((7 + x)(7 + -1x)) = 0Subproblem 1
Set the factor '(-2 + -1x2)' equal to zero and attempt to solve: Simplifying -2 + -1x2 = 0 Solving -2 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x2 = 0 + 2 -1x2 = 0 + 2 Combine like terms: 0 + 2 = 2 -1x2 = 2 Divide each side by '-1'. x2 = -2 Simplifying x2 = -2 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 '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Subproblem 3
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-7, 7}
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