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Simplifying 100x2 + 1 = 20x Reorder the terms: 1 + 100x2 = 20x Solving 1 + 100x2 = 20x Solving for variable 'x'. Reorder the terms: 1 + -20x + 100x2 = 20x + -20x Combine like terms: 20x + -20x = 0 1 + -20x + 100x2 = 0 Factor a trinomial. (1 + -10x)(1 + -10x) = 0Subproblem 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 + -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 = 0.1Solution
x = {0.1, 0.1}
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