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Simplifying -42x4 + -196x2 + 686 = 0 Reorder the terms: 686 + -196x2 + -42x4 = 0 Solving 686 + -196x2 + -42x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '14'. 14(49 + -14x2 + -3x4) = 0 Factor a trinomial. 14((7 + -3x2)(7 + x2)) = 0 Ignore the factor 14.Subproblem 1
Set the factor '(7 + -3x2)' equal to zero and attempt to solve: Simplifying 7 + -3x2 = 0 Solving 7 + -3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x2 = 0 + -7 -3x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -3x2 = -7 Divide each side by '-3'. x2 = 2.333333333 Simplifying x2 = 2.333333333 Take the square root of each side: x = {-1.527525232, 1.527525232}Subproblem 2
Set the factor '(7 + x2)' equal to zero and attempt to solve: Simplifying 7 + x2 = 0 Solving 7 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x2 = 0 + -7 x2 = 0 + -7 Combine like terms: 0 + -7 = -7 x2 = -7 Simplifying x2 = -7 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {-1.527525232, 1.527525232}
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