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Simplifying (3x + -7)(-1x + 1) = 0 Reorder the terms: (-7 + 3x)(-1x + 1) = 0 Reorder the terms: (-7 + 3x)(1 + -1x) = 0 Multiply (-7 + 3x) * (1 + -1x) (-7(1 + -1x) + 3x * (1 + -1x)) = 0 ((1 * -7 + -1x * -7) + 3x * (1 + -1x)) = 0 ((-7 + 7x) + 3x * (1 + -1x)) = 0 (-7 + 7x + (1 * 3x + -1x * 3x)) = 0 (-7 + 7x + (3x + -3x2)) = 0 Combine like terms: 7x + 3x = 10x (-7 + 10x + -3x2) = 0 Solving -7 + 10x + -3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + 3x)(1 + -1x) = 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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {2.333333333, 1}
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