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Simplifying 121x = 100x3 Solving 121x = 100x3 Solving for variable 'x'. Combine like terms: 100x3 + -100x3 = 0 121x + -100x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(121 + -100x2) = 0 Factor a difference between two squares. x((11 + 10x)(11 + -10x)) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(11 + 10x)' equal to zero and attempt to solve: Simplifying 11 + 10x = 0 Solving 11 + 10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 10x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 10x = 0 + -11 10x = 0 + -11 Combine like terms: 0 + -11 = -11 10x = -11 Divide each side by '10'. x = -1.1 Simplifying x = -1.1Subproblem 3
Set the factor '(11 + -10x)' equal to zero and attempt to solve: Simplifying 11 + -10x = 0 Solving 11 + -10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -10x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -10x = 0 + -11 -10x = 0 + -11 Combine like terms: 0 + -11 = -11 -10x = -11 Divide each side by '-10'. x = 1.1 Simplifying x = 1.1Solution
x = {0, -1.1, 1.1}
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