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Simplifying 7x4 + -54x2 + -16 = 0 Reorder the terms: -16 + -54x2 + 7x4 = 0 Solving -16 + -54x2 + 7x4 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -7x2)(8 + -1x2) = 0Subproblem 1
Set the factor '(-2 + -7x2)' equal to zero and attempt to solve: Simplifying -2 + -7x2 = 0 Solving -2 + -7x2 = 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 + -7x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7x2 = 0 + 2 -7x2 = 0 + 2 Combine like terms: 0 + 2 = 2 -7x2 = 2 Divide each side by '-7'. x2 = -0.2857142857 Simplifying x2 = -0.2857142857 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 '(8 + -1x2)' equal to zero and attempt to solve: Simplifying 8 + -1x2 = 0 Solving 8 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x2 = 0 + -8 -1x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -1x2 = -8 Divide each side by '-1'. x2 = 8 Simplifying x2 = 8 Take the square root of each side: x = {-2.828427125, 2.828427125}Solution
x = {-2.828427125, 2.828427125}
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