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Simplifying -5x4 + 9x2 = 0 Reorder the terms: 9x2 + -5x4 = 0 Solving 9x2 + -5x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(9 + -5x2) = 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 '(9 + -5x2)' equal to zero and attempt to solve: Simplifying 9 + -5x2 = 0 Solving 9 + -5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5x2 = 0 + -9 -5x2 = 0 + -9 Combine like terms: 0 + -9 = -9 -5x2 = -9 Divide each side by '-5'. x2 = 1.8 Simplifying x2 = 1.8 Take the square root of each side: x = {-1.341640787, 1.341640787}Solution
x = {0, -1.341640787, 1.341640787}
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