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Simplifying 9x4 + -36x2 + 32 = 0 Reorder the terms: 32 + -36x2 + 9x4 = 0 Solving 32 + -36x2 + 9x4 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -3x2)(8 + -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 Take the square root of each side: x = {-1.154700538, 1.154700538}Subproblem 2
Set the factor '(8 + -3x2)' equal to zero and attempt to solve: Simplifying 8 + -3x2 = 0 Solving 8 + -3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x2 = 0 + -8 -3x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -3x2 = -8 Divide each side by '-3'. x2 = 2.666666667 Simplifying x2 = 2.666666667 Take the square root of each side: x = {-1.632993162, 1.632993162}Solution
x = {-1.154700538, 1.154700538, -1.632993162, 1.632993162}
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