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Simplifying 10X4 + -18X2 = 0 Reorder the terms: -18X2 + 10X4 = 0 Solving -18X2 + 10X4 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2X2'. 2X2(-9 + 5X2) = 0 Ignore the factor 2.Subproblem 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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