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Simplifying 5X4 = 40X2 Solving 5X4 = 40X2 Solving for variable 'X'. Reorder the terms: -40X2 + 5X4 = 40X2 + -40X2 Combine like terms: 40X2 + -40X2 = 0 -40X2 + 5X4 = 0 Factor out the Greatest Common Factor (GCF), '5X2'. 5X2(-8 + X2) = 0 Ignore the factor 5.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 '(-8 + X2)' equal to zero and attempt to solve: Simplifying -8 + X2 = 0 Solving -8 + X2 = 0 Move all terms containing X to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + X2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + X2 = 0 + 8 X2 = 0 + 8 Combine like terms: 0 + 8 = 8 X2 = 8 Simplifying X2 = 8 Take the square root of each side: X = {-2.828427125, 2.828427125}Solution
X = {0, -2.828427125, 2.828427125}
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