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Simplifying 7x2 + -171x + 810 = 0 Reorder the terms: 810 + -171x + 7x2 = 0 Solving 810 + -171x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (45 + -7x)(18 + -1x) = 0Subproblem 1
Set the factor '(45 + -7x)' equal to zero and attempt to solve: Simplifying 45 + -7x = 0 Solving 45 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -7x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -7x = 0 + -45 -7x = 0 + -45 Combine like terms: 0 + -45 = -45 -7x = -45 Divide each side by '-7'. x = 6.428571429 Simplifying x = 6.428571429Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18Solution
x = {6.428571429, 18}
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