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Simplifying 9x4 + -6x2 + 3 = 2 Reorder the terms: 3 + -6x2 + 9x4 = 2 Solving 3 + -6x2 + 9x4 = 2 Solving for variable 'x'. Reorder the terms: 3 + -2 + -6x2 + 9x4 = 2 + -2 Combine like terms: 3 + -2 = 1 1 + -6x2 + 9x4 = 2 + -2 Combine like terms: 2 + -2 = 0 1 + -6x2 + 9x4 = 0 Factor a trinomial. (1 + -3x2)(1 + -3x2) = 0Subproblem 1
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}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, -0.577350269, 0.577350269}
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