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Simplifying 20x4 + x2 + -30 = 0 Reorder the terms: -30 + x2 + 20x4 = 0 Solving -30 + x2 + 20x4 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -4x2)(6 + -5x2) = 0Subproblem 1
Set the factor '(-5 + -4x2)' equal to zero and attempt to solve: Simplifying -5 + -4x2 = 0 Solving -5 + -4x2 = 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 + -4x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4x2 = 0 + 5 -4x2 = 0 + 5 Combine like terms: 0 + 5 = 5 -4x2 = 5 Divide each side by '-4'. x2 = -1.25 Simplifying x2 = -1.25 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 '(6 + -5x2)' equal to zero and attempt to solve: Simplifying 6 + -5x2 = 0 Solving 6 + -5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x2 = 0 + -6 -5x2 = 0 + -6 Combine like terms: 0 + -6 = -6 -5x2 = -6 Divide each side by '-5'. x2 = 1.2 Simplifying x2 = 1.2 Take the square root of each side: x = {-1.095445115, 1.095445115}Solution
x = {-1.095445115, 1.095445115}
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