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Simplifying (9 + -1x)(7 + -3x) = 0 Multiply (9 + -1x) * (7 + -3x) (9(7 + -3x) + -1x * (7 + -3x)) = 0 ((7 * 9 + -3x * 9) + -1x * (7 + -3x)) = 0 ((63 + -27x) + -1x * (7 + -3x)) = 0 (63 + -27x + (7 * -1x + -3x * -1x)) = 0 (63 + -27x + (-7x + 3x2)) = 0 Combine like terms: -27x + -7x = -34x (63 + -34x + 3x2) = 0 Solving 63 + -34x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -3x)(9 + -1x) = 0Subproblem 1
Set the factor '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333Subproblem 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 = {2.333333333, 9}
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