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Simplifying 36x4 + 29x2 + -7 = 0 Reorder the terms: -7 + 29x2 + 36x4 = 0 Solving -7 + 29x2 + 36x4 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -1x2)(7 + -36x2) = 0Subproblem 1
Set the factor '(-1 + -1x2)' equal to zero and attempt to solve: Simplifying -1 + -1x2 = 0 Solving -1 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x2 = 0 + 1 -1x2 = 0 + 1 Combine like terms: 0 + 1 = 1 -1x2 = 1 Divide each side by '-1'. x2 = -1 Simplifying x2 = -1 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 '(7 + -36x2)' equal to zero and attempt to solve: Simplifying 7 + -36x2 = 0 Solving 7 + -36x2 = 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 + -36x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -36x2 = 0 + -7 -36x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -36x2 = -7 Divide each side by '-36'. x2 = 0.1944444444 Simplifying x2 = 0.1944444444 Take the square root of each side: x = {-0.440958552, 0.440958552}Solution
x = {-0.440958552, 0.440958552}
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