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Simplifying 6x2 + 19x + 7 = -1 Reorder the terms: 7 + 19x + 6x2 = -1 Solving 7 + 19x + 6x2 = -1 Solving for variable 'x'. Reorder the terms: 7 + 1 + 19x + 6x2 = -1 + 1 Combine like terms: 7 + 1 = 8 8 + 19x + 6x2 = -1 + 1 Combine like terms: -1 + 1 = 0 8 + 19x + 6x2 = 0 Factor a trinomial. (8 + 3x)(1 + 2x) = 0Subproblem 1
Set the factor '(8 + 3x)' equal to zero and attempt to solve: Simplifying 8 + 3x = 0 Solving 8 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 0 + -8 3x = 0 + -8 Combine like terms: 0 + -8 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {-2.666666667, -0.5}
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