How to solve with quadratic formula 6x^2+19x+4=2x-1

Simplifying 6x2 + 19x + 4 = 2x + - 1 Reorder the terms: 4 + 19x + 6x2 = 2x + - 1 Reorder the terms: 4 + 19x + 6x2 = - 1 + 2x Solving 4 + 19x + 6x2 = - 1 + 2x Solving for variable 'x'. Reorder the terms: 4 + 1 + 19x + - 2x + 6x2 = - 1 + 2x + 1 + - 2x Combine like terms: 4 + 1 = 5 5 + 19x + - 2x + 6x2 = - 1 + 2x + 1 + - 2x Combine like terms: 19x + - 2x = 17x 5 + 17x + 6x2 = - 1 + 2x + 1 + - 2x Reorder the terms: 5 + 17x + 6x2 = - 1 + 1 + 2x + - 2x Combine like terms: - 1 + 1 = 0 5 + 17x + 6x2 = 0 + 2x + - 2x 5 + 17x + 6x2 = 2x + - 2x Combine like terms: 2x + - 2x = 0 5 + 17x + 6x2 = 0 Factor a trinomial. (5 + 2x) (1 + 3x) = 0 Subproblem 1Set the factor ' (5 + 2x) ' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + - 5 + 2x = 0 + - 5 Combine like terms: 5 + - 5 = 0 0 + 2x = 0 + - 5 2x = 0 + - 5 Combine like terms: 0 + - 5 = - 5 2x = - 5 Divide each side by '2'. x = - 2.5 Simplifying x = - 2.5 Subproblem 2Set the factor ' (1 + 3x) ' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 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 + 3x = 0 + - 1 Combine like terms: 1 + - 1 = 0 0 + 3x = 0 + - 1 3x = 0 + - 1 Combine like terms: 0 + - 1 = - 1 3x = - 1 Divide each side by '3'. x = - 0.3333333333 Simplifying x = - 0.3333333333Solutionx = {-2.5, - 0.3333333333}