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Simplifying 9x4 + -26x2 = 0 Reorder the terms: -26x2 + 9x4 = 0 Solving -26x2 + 9x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(-26 + 9x2) = 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 '(-26 + 9x2)' equal to zero and attempt to solve: Simplifying -26 + 9x2 = 0 Solving -26 + 9x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 9x2 = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 9x2 = 0 + 26 9x2 = 0 + 26 Combine like terms: 0 + 26 = 26 9x2 = 26 Divide each side by '9'. x2 = 2.888888889 Simplifying x2 = 2.888888889 Take the square root of each side: x = {-1.699673171, 1.699673171}Solution
x = {0, -1.699673171, 1.699673171}
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