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Simplifying 14x2 + -162x + 324 = 0 Reorder the terms: 324 + -162x + 14x2 = 0 Solving 324 + -162x + 14x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(162 + -81x + 7x2) = 0 Factor a trinomial. 2((18 + -7x)(9 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(18 + -7x)' equal to zero and attempt to solve: Simplifying 18 + -7x = 0 Solving 18 + -7x = 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 + -7x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -7x = 0 + -18 -7x = 0 + -18 Combine like terms: 0 + -18 = -18 -7x = -18 Divide each side by '-7'. x = 2.571428571 Simplifying x = 2.571428571Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {2.571428571, 9}
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