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Simplifying 5x2 + -21x + 19 = 1 Reorder the terms: 19 + -21x + 5x2 = 1 Solving 19 + -21x + 5x2 = 1 Solving for variable 'x'. Reorder the terms: 19 + -1 + -21x + 5x2 = 1 + -1 Combine like terms: 19 + -1 = 18 18 + -21x + 5x2 = 1 + -1 Combine like terms: 1 + -1 = 0 18 + -21x + 5x2 = 0 Factor a trinomial. (6 + -5x)(3 + -1x) = 0Subproblem 1
Set the factor '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {1.2, 3}
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