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Simplifying (3 + -7x)(2x + 9) = 0 Reorder the terms: (3 + -7x)(9 + 2x) = 0 Multiply (3 + -7x) * (9 + 2x) (3(9 + 2x) + -7x * (9 + 2x)) = 0 ((9 * 3 + 2x * 3) + -7x * (9 + 2x)) = 0 ((27 + 6x) + -7x * (9 + 2x)) = 0 (27 + 6x + (9 * -7x + 2x * -7x)) = 0 (27 + 6x + (-63x + -14x2)) = 0 Combine like terms: 6x + -63x = -57x (27 + -57x + -14x2) = 0 Solving 27 + -57x + -14x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -7x)(9 + 2x) = 0Subproblem 1
Set the factor '(3 + -7x)' equal to zero and attempt to solve: Simplifying 3 + -7x = 0 Solving 3 + -7x = 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 + -7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 0 + -3 -7x = 0 + -3 Combine like terms: 0 + -3 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286Subproblem 2
Set the factor '(9 + 2x)' equal to zero and attempt to solve: Simplifying 9 + 2x = 0 Solving 9 + 2x = 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 + 2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 0 + -9 2x = 0 + -9 Combine like terms: 0 + -9 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5Solution
x = {0.4285714286, -4.5}
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