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Simplifying 30x4 + 258x2 + -108 = 0 Reorder the terms: -108 + 258x2 + 30x4 = 0 Solving -108 + 258x2 + 30x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(-18 + 43x2 + 5x4) = 0 Factor a trinomial. 6((-9 + -1x2)(2 + -5x2)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-9 + -1x2)' equal to zero and attempt to solve: Simplifying -9 + -1x2 = 0 Solving -9 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1x2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x2 = 0 + 9 -1x2 = 0 + 9 Combine like terms: 0 + 9 = 9 -1x2 = 9 Divide each side by '-1'. x2 = -9 Simplifying x2 = -9 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 '(2 + -5x2)' equal to zero and attempt to solve: Simplifying 2 + -5x2 = 0 Solving 2 + -5x2 = 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 + -5x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x2 = 0 + -2 -5x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -5x2 = -2 Divide each side by '-5'. x2 = 0.4 Simplifying x2 = 0.4 Take the square root of each side: x = {-0.632455532, 0.632455532}Solution
x = {-0.632455532, 0.632455532}
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