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Simplifying 3x4 + -22x2 = 0 Reorder the terms: -22x2 + 3x4 = 0 Solving -22x2 + 3x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-22 + 3x2) = 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 '(-22 + 3x2)' equal to zero and attempt to solve: Simplifying -22 + 3x2 = 0 Solving -22 + 3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 3x2 = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 3x2 = 0 + 22 3x2 = 0 + 22 Combine like terms: 0 + 22 = 22 3x2 = 22 Divide each side by '3'. x2 = 7.333333333 Simplifying x2 = 7.333333333 Take the square root of each side: x = {-2.708012801, 2.708012801}Solution
x = {0, -2.708012801, 2.708012801}
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