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Simplifying (3x + 1)(7x + -2) = 0 Reorder the terms: (1 + 3x)(7x + -2) = 0 Reorder the terms: (1 + 3x)(-2 + 7x) = 0 Multiply (1 + 3x) * (-2 + 7x) (1(-2 + 7x) + 3x * (-2 + 7x)) = 0 ((-2 * 1 + 7x * 1) + 3x * (-2 + 7x)) = 0 ((-2 + 7x) + 3x * (-2 + 7x)) = 0 (-2 + 7x + (-2 * 3x + 7x * 3x)) = 0 (-2 + 7x + (-6x + 21x2)) = 0 Combine like terms: 7x + -6x = 1x (-2 + 1x + 21x2) = 0 Solving -2 + 1x + 21x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -3x)(2 + -7x) = 0Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333Subproblem 2
Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 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 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857Solution
x = {-0.3333333333, 0.2857142857}
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