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Simplifying (6x + 7)(4x + 3) = 0 Reorder the terms: (7 + 6x)(4x + 3) = 0 Reorder the terms: (7 + 6x)(3 + 4x) = 0 Multiply (7 + 6x) * (3 + 4x) (7(3 + 4x) + 6x * (3 + 4x)) = 0 ((3 * 7 + 4x * 7) + 6x * (3 + 4x)) = 0 ((21 + 28x) + 6x * (3 + 4x)) = 0 (21 + 28x + (3 * 6x + 4x * 6x)) = 0 (21 + 28x + (18x + 24x2)) = 0 Combine like terms: 28x + 18x = 46x (21 + 46x + 24x2) = 0 Solving 21 + 46x + 24x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + 6x)(3 + 4x) = 0Subproblem 1
Set the factor '(7 + 6x)' equal to zero and attempt to solve: Simplifying 7 + 6x = 0 Solving 7 + 6x = 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 + 6x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = 0 + -7 6x = 0 + -7 Combine like terms: 0 + -7 = -7 6x = -7 Divide each side by '6'. x = -1.166666667 Simplifying x = -1.166666667Subproblem 2
Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 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 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75Solution
x = {-1.166666667, -0.75}
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