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Simplifying 2x2 + 105x + 343 = 0 Reorder the terms: 343 + 105x + 2x2 = 0 Solving 343 + 105x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (49 + x)(7 + 2x) = 0Subproblem 1
Set the factor '(49 + x)' equal to zero and attempt to solve: Simplifying 49 + x = 0 Solving 49 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + x = 0 + -49 Combine like terms: 49 + -49 = 0 0 + x = 0 + -49 x = 0 + -49 Combine like terms: 0 + -49 = -49 x = -49 Simplifying x = -49Subproblem 2
Set the factor '(7 + 2x)' equal to zero and attempt to solve: Simplifying 7 + 2x = 0 Solving 7 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5Solution
x = {-49, -3.5}
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