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Simplifying 7x2 = 18x + -11 Reorder the terms: 7x2 = -11 + 18x Solving 7x2 = -11 + 18x Solving for variable 'x'. Reorder the terms: 11 + -18x + 7x2 = -11 + 18x + 11 + -18x Reorder the terms: 11 + -18x + 7x2 = -11 + 11 + 18x + -18x Combine like terms: -11 + 11 = 0 11 + -18x + 7x2 = 0 + 18x + -18x 11 + -18x + 7x2 = 18x + -18x Combine like terms: 18x + -18x = 0 11 + -18x + 7x2 = 0 Factor a trinomial. (1 + -1x)(11 + -7x) = 0Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(11 + -7x)' equal to zero and attempt to solve: Simplifying 11 + -7x = 0 Solving 11 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -7x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -7x = 0 + -11 -7x = 0 + -11 Combine like terms: 0 + -11 = -11 -7x = -11 Divide each side by '-7'. x = 1.571428571 Simplifying x = 1.571428571Solution
x = {1, 1.571428571}
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