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Simplifying (7x + 3)(8x + 9) = 0 Reorder the terms: (3 + 7x)(8x + 9) = 0 Reorder the terms: (3 + 7x)(9 + 8x) = 0 Multiply (3 + 7x) * (9 + 8x) (3(9 + 8x) + 7x * (9 + 8x)) = 0 ((9 * 3 + 8x * 3) + 7x * (9 + 8x)) = 0 ((27 + 24x) + 7x * (9 + 8x)) = 0 (27 + 24x + (9 * 7x + 8x * 7x)) = 0 (27 + 24x + (63x + 56x2)) = 0 Combine like terms: 24x + 63x = 87x (27 + 87x + 56x2) = 0 Solving 27 + 87x + 56x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + 8x)(3 + 7x) = 0Subproblem 1
Set the factor '(9 + 8x)' equal to zero and attempt to solve: Simplifying 9 + 8x = 0 Solving 9 + 8x = 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 + 8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 0 + -9 8x = 0 + -9 Combine like terms: 0 + -9 = -9 8x = -9 Divide each side by '8'. x = -1.125 Simplifying x = -1.125Subproblem 2
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 = -0.4285714286Solution
x = {-1.125, -0.4285714286}
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