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Simplifying 7x(x + 2) + 6(x + 2) = 0 Reorder the terms: 7x(2 + x) + 6(x + 2) = 0 (2 * 7x + x * 7x) + 6(x + 2) = 0 (14x + 7x2) + 6(x + 2) = 0 Reorder the terms: 14x + 7x2 + 6(2 + x) = 0 14x + 7x2 + (2 * 6 + x * 6) = 0 14x + 7x2 + (12 + 6x) = 0 Reorder the terms: 12 + 14x + 6x + 7x2 = 0 Combine like terms: 14x + 6x = 20x 12 + 20x + 7x2 = 0 Solving 12 + 20x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + x)(6 + 7x) = 0Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 2
Set the factor '(6 + 7x)' equal to zero and attempt to solve: Simplifying 6 + 7x = 0 Solving 6 + 7x = 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 + 7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 0 + -6 7x = 0 + -6 Combine like terms: 0 + -6 = -6 7x = -6 Divide each side by '7'. x = -0.8571428571 Simplifying x = -0.8571428571Solution
x = {-2, -0.8571428571}
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