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Simplifying 7x2 + -57x + 110 = 0 Reorder the terms: 110 + -57x + 7x2 = 0 Solving 110 + -57x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (22 + -7x)(5 + -1x) = 0Subproblem 1
Set the factor '(22 + -7x)' equal to zero and attempt to solve: Simplifying 22 + -7x = 0 Solving 22 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -7x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -7x = 0 + -22 -7x = 0 + -22 Combine like terms: 0 + -22 = -22 -7x = -22 Divide each side by '-7'. x = 3.142857143 Simplifying x = 3.142857143Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {3.142857143, 5}
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