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Simplifying 4x4 + -9x2 + -9 = 0 Reorder the terms: -9 + -9x2 + 4x4 = 0 Solving -9 + -9x2 + 4x4 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -4x2)(3 + -1x2) = 0Subproblem 1
Set the factor '(-3 + -4x2)' equal to zero and attempt to solve: Simplifying -3 + -4x2 = 0 Solving -3 + -4x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4x2 = 0 + 3 -4x2 = 0 + 3 Combine like terms: 0 + 3 = 3 -4x2 = 3 Divide each side by '-4'. x2 = -0.75 Simplifying x2 = -0.75 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 '(3 + -1x2)' equal to zero and attempt to solve: Simplifying 3 + -1x2 = 0 Solving 3 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x2 = 0 + -3 -1x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1x2 = -3 Divide each side by '-1'. x2 = 3 Simplifying x2 = 3 Take the square root of each side: x = {-1.732050808, 1.732050808}Solution
x = {-1.732050808, 1.732050808}
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