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Simplifying 6x2 + -19x + 11 = 1 Reorder the terms: 11 + -19x + 6x2 = 1 Solving 11 + -19x + 6x2 = 1 Solving for variable 'x'. Reorder the terms: 11 + -1 + -19x + 6x2 = 1 + -1 Combine like terms: 11 + -1 = 10 10 + -19x + 6x2 = 1 + -1 Combine like terms: 1 + -1 = 0 10 + -19x + 6x2 = 0 Factor a trinomial. (2 + -3x)(5 + -2x) = 0Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Subproblem 2
Set 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 = 2.5Solution
x = {0.6666666667, 2.5}
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