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Simplifying (x + -7)(3x + -1) = 0 Reorder the terms: (-7 + x)(3x + -1) = 0 Reorder the terms: (-7 + x)(-1 + 3x) = 0 Multiply (-7 + x) * (-1 + 3x) (-7(-1 + 3x) + x(-1 + 3x)) = 0 ((-1 * -7 + 3x * -7) + x(-1 + 3x)) = 0 ((7 + -21x) + x(-1 + 3x)) = 0 (7 + -21x + (-1 * x + 3x * x)) = 0 (7 + -21x + (-1x + 3x2)) = 0 Combine like terms: -21x + -1x = -22x (7 + -22x + 3x2) = 0 Solving 7 + -22x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -3x)(7 + -1x) = 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 '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {0.3333333333, 7}
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