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Simplifying 2 = x(100x + 10) Reorder the terms: 2 = x(10 + 100x) 2 = (10 * x + 100x * x) 2 = (10x + 100x2) Solving 2 = 10x + 100x2 Solving for variable 'x'. Reorder the terms: 2 + -10x + -100x2 = 10x + -10x + 100x2 + -100x2 Combine like terms: 10x + -10x = 0 2 + -10x + -100x2 = 0 + 100x2 + -100x2 2 + -10x + -100x2 = 100x2 + -100x2 Combine like terms: 100x2 + -100x2 = 0 2 + -10x + -100x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1 + -5x + -50x2) = 0 Factor a trinomial. 2((1 + -10x)(1 + 5x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -10x)' equal to zero and attempt to solve: Simplifying 1 + -10x = 0 Solving 1 + -10x = 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 + -10x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -10x = 0 + -1 -10x = 0 + -1 Combine like terms: 0 + -1 = -1 -10x = -1 Divide each side by '-10'. x = 0.1 Simplifying x = 0.1Subproblem 2
Set the factor '(1 + 5x)' equal to zero and attempt to solve: Simplifying 1 + 5x = 0 Solving 1 + 5x = 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 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2Solution
x = {0.1, -0.2}
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