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Simplifying 121X4 + -100X2 = 0 Reorder the terms: -100X2 + 121X4 = 0 Solving -100X2 + 121X4 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), 'X2'. X2(-100 + 121X2) = 0 Factor a difference between two squares. X2((10 + 11X)(-10 + 11X)) = 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 '(10 + 11X)' equal to zero and attempt to solve: Simplifying 10 + 11X = 0 Solving 10 + 11X = 0 Move all terms containing X to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 11X = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 11X = 0 + -10 11X = 0 + -10 Combine like terms: 0 + -10 = -10 11X = -10 Divide each side by '11'. X = -0.9090909091 Simplifying X = -0.9090909091Subproblem 3
Set the factor '(-10 + 11X)' equal to zero and attempt to solve: Simplifying -10 + 11X = 0 Solving -10 + 11X = 0 Move all terms containing X to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 11X = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 11X = 0 + 10 11X = 0 + 10 Combine like terms: 0 + 10 = 10 11X = 10 Divide each side by '11'. X = 0.9090909091 Simplifying X = 0.9090909091Solution
X = {0, -0.9090909091, 0.9090909091}
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