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Simplifying 225x2 + 30x + 1 = 0 Reorder the terms: 1 + 30x + 225x2 = 0 Solving 1 + 30x + 225x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + 15x)(1 + 15x) = 0Subproblem 1
Set the factor '(1 + 15x)' equal to zero and attempt to solve: Simplifying 1 + 15x = 0 Solving 1 + 15x = 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 + 15x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 15x = 0 + -1 15x = 0 + -1 Combine like terms: 0 + -1 = -1 15x = -1 Divide each side by '15'. x = -0.06666666667 Simplifying x = -0.06666666667Subproblem 2
Set the factor '(1 + 15x)' equal to zero and attempt to solve: Simplifying 1 + 15x = 0 Solving 1 + 15x = 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 + 15x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 15x = 0 + -1 15x = 0 + -1 Combine like terms: 0 + -1 = -1 15x = -1 Divide each side by '15'. x = -0.06666666667 Simplifying x = -0.06666666667Solution
x = {-0.06666666667, -0.06666666667}
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