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Simplifying 9x4 + -3x2 + 12x2 + -4 = 0 Reorder the terms: -4 + -3x2 + 12x2 + 9x4 = 0 Combine like terms: -3x2 + 12x2 = 9x2 -4 + 9x2 + 9x4 = 0 Solving -4 + 9x2 + 9x4 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -3x2)(1 + -3x2) = 0Subproblem 1
Set the factor '(-4 + -3x2)' equal to zero and attempt to solve: Simplifying -4 + -3x2 = 0 Solving -4 + -3x2 = 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 + -3x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x2 = 0 + 4 -3x2 = 0 + 4 Combine like terms: 0 + 4 = 4 -3x2 = 4 Divide each side by '-3'. x2 = -1.333333333 Simplifying x2 = -1.333333333 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 '(1 + -3x2)' equal to zero and attempt to solve: Simplifying 1 + -3x2 = 0 Solving 1 + -3x2 = 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 + -3x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x2 = 0 + -1 -3x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -3x2 = -1 Divide each side by '-3'. x2 = 0.3333333333 Simplifying x2 = 0.3333333333 Take the square root of each side: x = {-0.577350269, 0.577350269}Solution
x = {-0.577350269, 0.577350269}
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