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Simplifying 49x2 + -1458x + 3645 = 0 Reorder the terms: 3645 + -1458x + 49x2 = 0 Solving 3645 + -1458x + 49x2 = 0 Solving for variable 'x'. Factor a trinomial. (135 + -49x)(27 + -1x) = 0Subproblem 1
Set the factor '(135 + -49x)' equal to zero and attempt to solve: Simplifying 135 + -49x = 0 Solving 135 + -49x = 0 Move all terms containing x to the left, all other terms to the right. Add '-135' to each side of the equation. 135 + -135 + -49x = 0 + -135 Combine like terms: 135 + -135 = 0 0 + -49x = 0 + -135 -49x = 0 + -135 Combine like terms: 0 + -135 = -135 -49x = -135 Divide each side by '-49'. x = 2.755102041 Simplifying x = 2.755102041Subproblem 2
Set the factor '(27 + -1x)' equal to zero and attempt to solve: Simplifying 27 + -1x = 0 Solving 27 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -1x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -1x = 0 + -27 -1x = 0 + -27 Combine like terms: 0 + -27 = -27 -1x = -27 Divide each side by '-1'. x = 27 Simplifying x = 27Solution
x = {2.755102041, 27}
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