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Simplifying 7X2 + 186X + 104 = 0 Reorder the terms: 104 + 186X + 7X2 = 0 Solving 104 + 186X + 7X2 = 0 Solving for variable 'X'. Factor a trinomial. (26 + X)(4 + 7X) = 0Subproblem 1
Set the factor '(26 + X)' equal to zero and attempt to solve: Simplifying 26 + X = 0 Solving 26 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + X = 0 + -26 Combine like terms: 26 + -26 = 0 0 + X = 0 + -26 X = 0 + -26 Combine like terms: 0 + -26 = -26 X = -26 Simplifying X = -26Subproblem 2
Set the factor '(4 + 7X)' equal to zero and attempt to solve: Simplifying 4 + 7X = 0 Solving 4 + 7X = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7X = 0 + -4 7X = 0 + -4 Combine like terms: 0 + -4 = -4 7X = -4 Divide each side by '7'. X = -0.5714285714 Simplifying X = -0.5714285714Solution
X = {-26, -0.5714285714}
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