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Simplifying (3x + -2)(3x + 7) = 0 Reorder the terms: (-2 + 3x)(3x + 7) = 0 Reorder the terms: (-2 + 3x)(7 + 3x) = 0 Multiply (-2 + 3x) * (7 + 3x) (-2(7 + 3x) + 3x * (7 + 3x)) = 0 ((7 * -2 + 3x * -2) + 3x * (7 + 3x)) = 0 ((-14 + -6x) + 3x * (7 + 3x)) = 0 (-14 + -6x + (7 * 3x + 3x * 3x)) = 0 (-14 + -6x + (21x + 9x2)) = 0 Combine like terms: -6x + 21x = 15x (-14 + 15x + 9x2) = 0 Solving -14 + 15x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -3x)(2 + -3x) = 0Subproblem 1
Set the factor '(-7 + -3x)' equal to zero and attempt to solve: Simplifying -7 + -3x = 0 Solving -7 + -3x = 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 + -3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 0 + 7 -3x = 0 + 7 Combine like terms: 0 + 7 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333Subproblem 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 = {-2.333333333, 0.6666666667}
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