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Simplifying (9 + -13x)(11 + -7x) = 0 Multiply (9 + -13x) * (11 + -7x) (9(11 + -7x) + -13x * (11 + -7x)) = 0 ((11 * 9 + -7x * 9) + -13x * (11 + -7x)) = 0 ((99 + -63x) + -13x * (11 + -7x)) = 0 (99 + -63x + (11 * -13x + -7x * -13x)) = 0 (99 + -63x + (-143x + 91x2)) = 0 Combine like terms: -63x + -143x = -206x (99 + -206x + 91x2) = 0 Solving 99 + -206x + 91x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + -13x)(11 + -7x) = 0Subproblem 1
Set the factor '(9 + -13x)' equal to zero and attempt to solve: Simplifying 9 + -13x = 0 Solving 9 + -13x = 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 + -13x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -13x = 0 + -9 -13x = 0 + -9 Combine like terms: 0 + -9 = -9 -13x = -9 Divide each side by '-13'. x = 0.6923076923 Simplifying x = 0.6923076923Subproblem 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 = {0.6923076923, 1.571428571}
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