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Simplifying 15X2 + -34X + 16 = 1 Reorder the terms: 16 + -34X + 15X2 = 1 Solving 16 + -34X + 15X2 = 1 Solving for variable 'X'. Reorder the terms: 16 + -1 + -34X + 15X2 = 1 + -1 Combine like terms: 16 + -1 = 15 15 + -34X + 15X2 = 1 + -1 Combine like terms: 1 + -1 = 0 15 + -34X + 15X2 = 0 Factor a trinomial. (3 + -5X)(5 + -3X) = 0Subproblem 1
Set the factor '(3 + -5X)' equal to zero and attempt to solve: Simplifying 3 + -5X = 0 Solving 3 + -5X = 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 + -5X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5X = 0 + -3 -5X = 0 + -3 Combine like terms: 0 + -3 = -3 -5X = -3 Divide each side by '-5'. X = 0.6 Simplifying X = 0.6Subproblem 2
Set the factor '(5 + -3X)' equal to zero and attempt to solve: Simplifying 5 + -3X = 0 Solving 5 + -3X = 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 + -3X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3X = 0 + -5 -3X = 0 + -5 Combine like terms: 0 + -5 = -5 -3X = -5 Divide each side by '-3'. X = 1.666666667 Simplifying X = 1.666666667Solution
X = {0.6, 1.666666667}
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