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Simplifying 7x2 + 45x + 68 = 0 Reorder the terms: 68 + 45x + 7x2 = 0 Solving 68 + 45x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + x)(17 + 7x) = 0Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
Set the factor '(17 + 7x)' equal to zero and attempt to solve: Simplifying 17 + 7x = 0 Solving 17 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 7x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 7x = 0 + -17 7x = 0 + -17 Combine like terms: 0 + -17 = -17 7x = -17 Divide each side by '7'. x = -2.428571429 Simplifying x = -2.428571429Solution
x = {-4, -2.428571429}
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