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Simplifying 9x4 + -256x2 = 0 Reorder the terms: -256x2 + 9x4 = 0 Solving -256x2 + 9x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-256 + 9x2) = 0 Factor a difference between two squares. x2((16 + 3x)(-16 + 3x)) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(16 + 3x)' equal to zero and attempt to solve: Simplifying 16 + 3x = 0 Solving 16 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 3x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 3x = 0 + -16 3x = 0 + -16 Combine like terms: 0 + -16 = -16 3x = -16 Divide each side by '3'. x = -5.333333333 Simplifying x = -5.333333333Subproblem 3
Set the factor '(-16 + 3x)' equal to zero and attempt to solve: Simplifying -16 + 3x = 0 Solving -16 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 3x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 3x = 0 + 16 3x = 0 + 16 Combine like terms: 0 + 16 = 16 3x = 16 Divide each side by '3'. x = 5.333333333 Simplifying x = 5.333333333Solution
x = {0, -5.333333333, 5.333333333}
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