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Simplifying (3 + -1x)(9 + -7x) = 0 Multiply (3 + -1x) * (9 + -7x) (3(9 + -7x) + -1x * (9 + -7x)) = 0 ((9 * 3 + -7x * 3) + -1x * (9 + -7x)) = 0 ((27 + -21x) + -1x * (9 + -7x)) = 0 (27 + -21x + (9 * -1x + -7x * -1x)) = 0 (27 + -21x + (-9x + 7x2)) = 0 Combine like terms: -21x + -9x = -30x (27 + -30x + 7x2) = 0 Solving 27 + -30x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + -7x)(3 + -1x) = 0Subproblem 1
Set the factor '(9 + -7x)' equal to zero and attempt to solve: Simplifying 9 + -7x = 0 Solving 9 + -7x = 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 + -7x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = 0 + -9 -7x = 0 + -9 Combine like terms: 0 + -9 = -9 -7x = -9 Divide each side by '-7'. x = 1.285714286 Simplifying x = 1.285714286Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {1.285714286, 3}
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