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Simplifying 6x4 + -52x2 + -80 = 0 Reorder the terms: -80 + -52x2 + 6x4 = 0 Solving -80 + -52x2 + 6x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-40 + -26x2 + 3x4) = 0 Factor a trinomial. 2((-4 + -3x2)(10 + -1x2)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -3x2)' equal to zero and attempt to solve: Simplifying -4 + -3x2 = 0 Solving -4 + -3x2 = 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 + -3x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x2 = 0 + 4 -3x2 = 0 + 4 Combine like terms: 0 + 4 = 4 -3x2 = 4 Divide each side by '-3'. x2 = -1.333333333 Simplifying x2 = -1.333333333 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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