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Simplifying 14x4 + 62x2 + -40 = 0 Reorder the terms: -40 + 62x2 + 14x4 = 0 Solving -40 + 62x2 + 14x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-20 + 31x2 + 7x4) = 0 Factor a trinomial. 2((-5 + -1x2)(4 + -7x2)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -1x2)' equal to zero and attempt to solve: Simplifying -5 + -1x2 = 0 Solving -5 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x2 = 0 + 5 -1x2 = 0 + 5 Combine like terms: 0 + 5 = 5 -1x2 = 5 Divide each side by '-1'. x2 = -5 Simplifying x2 = -5 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 '(4 + -7x2)' equal to zero and attempt to solve: Simplifying 4 + -7x2 = 0 Solving 4 + -7x2 = 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 + -7x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7x2 = 0 + -4 -7x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -7x2 = -4 Divide each side by '-7'. x2 = 0.5714285714 Simplifying x2 = 0.5714285714 Take the square root of each side: x = {-0.755928946, 0.755928946}Solution
x = {-0.755928946, 0.755928946}
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