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Simplifying 19x2 + 36x + -4 = 0 Reorder the terms: -4 + 36x + 19x2 = 0 Solving -4 + 36x + 19x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -1x)(2 + -19x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(2 + -19x)' equal to zero and attempt to solve: Simplifying 2 + -19x = 0 Solving 2 + -19x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -19x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -19x = 0 + -2 -19x = 0 + -2 Combine like terms: 0 + -2 = -2 -19x = -2 Divide each side by '-19'. x = 0.1052631579 Simplifying x = 0.1052631579Solution
x = {-2, 0.1052631579}
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