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Simplifying (3x + -7)(-1x + 5) = 0 Reorder the terms: (-7 + 3x)(-1x + 5) = 0 Reorder the terms: (-7 + 3x)(5 + -1x) = 0 Multiply (-7 + 3x) * (5 + -1x) (-7(5 + -1x) + 3x * (5 + -1x)) = 0 ((5 * -7 + -1x * -7) + 3x * (5 + -1x)) = 0 ((-35 + 7x) + 3x * (5 + -1x)) = 0 (-35 + 7x + (5 * 3x + -1x * 3x)) = 0 (-35 + 7x + (15x + -3x2)) = 0 Combine like terms: 7x + 15x = 22x (-35 + 22x + -3x2) = 0 Solving -35 + 22x + -3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + x)(7 + -3x) = 0Subproblem 1
Set the factor '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5Subproblem 2
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 = 2.333333333Solution
x = {5, 2.333333333}
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