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Simplifying (7x + 3)(6 + -5x) = 0 Reorder the terms: (3 + 7x)(6 + -5x) = 0 Multiply (3 + 7x) * (6 + -5x) (3(6 + -5x) + 7x * (6 + -5x)) = 0 ((6 * 3 + -5x * 3) + 7x * (6 + -5x)) = 0 ((18 + -15x) + 7x * (6 + -5x)) = 0 (18 + -15x + (6 * 7x + -5x * 7x)) = 0 (18 + -15x + (42x + -35x2)) = 0 Combine like terms: -15x + 42x = 27x (18 + 27x + -35x2) = 0 Solving 18 + 27x + -35x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + -5x)(3 + 7x) = 0Subproblem 1
Set the factor '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2Subproblem 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 = {1.2, -0.4285714286}
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