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Simplifying (-38 + x)(2 + -1x) = 0 Multiply (-38 + x) * (2 + -1x) (-38(2 + -1x) + x(2 + -1x)) = 0 ((2 * -38 + -1x * -38) + x(2 + -1x)) = 0 ((-76 + 38x) + x(2 + -1x)) = 0 (-76 + 38x + (2 * x + -1x * x)) = 0 (-76 + 38x + (2x + -1x2)) = 0 Combine like terms: 38x + 2x = 40x (-76 + 40x + -1x2) = 0 Solving -76 + 40x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (-38 + x)(2 + -1x) = 0Subproblem 1
Set the factor '(-38 + x)' equal to zero and attempt to solve: Simplifying -38 + x = 0 Solving -38 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + x = 0 + 38 x = 0 + 38 Combine like terms: 0 + 38 = 38 x = 38 Simplifying x = 38Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {38, 2}
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