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Simplifying (2 + x)(2 + 3x) = 0 Multiply (2 + x) * (2 + 3x) (2(2 + 3x) + x(2 + 3x)) = 0 ((2 * 2 + 3x * 2) + x(2 + 3x)) = 0 ((4 + 6x) + x(2 + 3x)) = 0 (4 + 6x + (2 * x + 3x * x)) = 0 (4 + 6x + (2x + 3x2)) = 0 Combine like terms: 6x + 2x = 8x (4 + 8x + 3x2) = 0 Solving 4 + 8x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + x)(2 + 3x) = 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 '(2 + 3x)' equal to zero and attempt to solve: Simplifying 2 + 3x = 0 Solving 2 + 3x = 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 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 0 + -2 3x = 0 + -2 Combine like terms: 0 + -2 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667Solution
x = {-2, -0.6666666667}
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