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Simplifying 196x2 + 28x + 1 = 0 Reorder the terms: 1 + 28x + 196x2 = 0 Solving 1 + 28x + 196x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + 14x)(1 + 14x) = 0Subproblem 1
Set the factor '(1 + 14x)' equal to zero and attempt to solve: Simplifying 1 + 14x = 0 Solving 1 + 14x = 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 + 14x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 14x = 0 + -1 14x = 0 + -1 Combine like terms: 0 + -1 = -1 14x = -1 Divide each side by '14'. x = -0.07142857143 Simplifying x = -0.07142857143Subproblem 2
Set the factor '(1 + 14x)' equal to zero and attempt to solve: Simplifying 1 + 14x = 0 Solving 1 + 14x = 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 + 14x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 14x = 0 + -1 14x = 0 + -1 Combine like terms: 0 + -1 = -1 14x = -1 Divide each side by '14'. x = -0.07142857143 Simplifying x = -0.07142857143Solution
x = {-0.07142857143, -0.07142857143}
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