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Simplifying 6x4 + 24x2 + -840 = 0 Reorder the terms: -840 + 24x2 + 6x4 = 0 Solving -840 + 24x2 + 6x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(-140 + 4x2 + x4) = 0 Factor a trinomial. 6((-14 + -1x2)(10 + -1x2)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-14 + -1x2)' equal to zero and attempt to solve: Simplifying -14 + -1x2 = 0 Solving -14 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1x2 = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1x2 = 0 + 14 -1x2 = 0 + 14 Combine like terms: 0 + 14 = 14 -1x2 = 14 Divide each side by '-1'. x2 = -14 Simplifying x2 = -14 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 '(10 + -1x2)' equal to zero and attempt to solve: Simplifying 10 + -1x2 = 0 Solving 10 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x2 = 0 + -10 -1x2 = 0 + -10 Combine like terms: 0 + -10 = -10 -1x2 = -10 Divide each side by '-1'. x2 = 10 Simplifying x2 = 10 Take the square root of each side: x = {-3.16227766, 3.16227766}Solution
x = {-3.16227766, 3.16227766}
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