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Simplifying 2x3 + 102x2 + 100x = 0 Reorder the terms: 100x + 102x2 + 2x3 = 0 Solving 100x + 102x2 + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(50 + 51x + x2) = 0 Factor a trinomial. 2x((50 + x)(1 + x)) = 0 Ignore the factor 2.Subproblem 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 '(50 + x)' equal to zero and attempt to solve: Simplifying 50 + x = 0 Solving 50 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + x = 0 + -50 x = 0 + -50 Combine like terms: 0 + -50 = -50 x = -50 Simplifying x = -50Subproblem 3
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {0, -50, -1}
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