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Simplifying (7x + -2)(3x + -1) = 0 Reorder the terms: (-2 + 7x)(3x + -1) = 0 Reorder the terms: (-2 + 7x)(-1 + 3x) = 0 Multiply (-2 + 7x) * (-1 + 3x) (-2(-1 + 3x) + 7x * (-1 + 3x)) = 0 ((-1 * -2 + 3x * -2) + 7x * (-1 + 3x)) = 0 ((2 + -6x) + 7x * (-1 + 3x)) = 0 (2 + -6x + (-1 * 7x + 3x * 7x)) = 0 (2 + -6x + (-7x + 21x2)) = 0 Combine like terms: -6x + -7x = -13x (2 + -13x + 21x2) = 0 Solving 2 + -13x + 21x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -7x)(1 + -3x) = 0Subproblem 1
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 = 0.2857142857Subproblem 2
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 = 0.3333333333Solution
x = {0.2857142857, 0.3333333333}
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