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Simplifying x4 + -14x2 = 72 Reorder the terms: -14x2 + x4 = 72 Solving -14x2 + x4 = 72 Solving for variable 'x'. Reorder the terms: -72 + -14x2 + x4 = 72 + -72 Combine like terms: 72 + -72 = 0 -72 + -14x2 + x4 = 0 Factor a trinomial. (-4 + -1x2)(18 + -1x2) = 0Subproblem 1
Set the factor '(-4 + -1x2)' equal to zero and attempt to solve: Simplifying -4 + -1x2 = 0 Solving -4 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x2 = 0 + 4 -1x2 = 0 + 4 Combine like terms: 0 + 4 = 4 -1x2 = 4 Divide each side by '-1'. x2 = -4 Simplifying x2 = -4 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 '(18 + -1x2)' equal to zero and attempt to solve: Simplifying 18 + -1x2 = 0 Solving 18 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x2 = 0 + -18 -1x2 = 0 + -18 Combine like terms: 0 + -18 = -18 -1x2 = -18 Divide each side by '-1'. x2 = 18 Simplifying x2 = 18 Take the square root of each side: x = {-4.242640687, 4.242640687}Solution
x = {-4.242640687, 4.242640687}
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