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Simplifying 12x2 + -152x + 361 = 0 Reorder the terms: 361 + -152x + 12x2 = 0 Solving 361 + -152x + 12x2 = 0 Solving for variable 'x'. Factor a trinomial. (19 + -6x)(19 + -2x) = 0Subproblem 1
Set the factor '(19 + -6x)' equal to zero and attempt to solve: Simplifying 19 + -6x = 0 Solving 19 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -6x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -6x = 0 + -19 -6x = 0 + -19 Combine like terms: 0 + -19 = -19 -6x = -19 Divide each side by '-6'. x = 3.166666667 Simplifying x = 3.166666667Subproblem 2
Set the factor '(19 + -2x)' equal to zero and attempt to solve: Simplifying 19 + -2x = 0 Solving 19 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -2x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -2x = 0 + -19 -2x = 0 + -19 Combine like terms: 0 + -19 = -19 -2x = -19 Divide each side by '-2'. x = 9.5 Simplifying x = 9.5Solution
x = {3.166666667, 9.5}
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