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Simplifying 19x2 + 75x + 54 = 0 Reorder the terms: 54 + 75x + 19x2 = 0 Solving 54 + 75x + 19x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + x)(18 + 19x) = 0Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 2
Set the factor '(18 + 19x)' equal to zero and attempt to solve: Simplifying 18 + 19x = 0 Solving 18 + 19x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 19x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 19x = 0 + -18 19x = 0 + -18 Combine like terms: 0 + -18 = -18 19x = -18 Divide each side by '19'. x = -0.9473684211 Simplifying x = -0.9473684211Solution
x = {-3, -0.9473684211}
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