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Simplifying 50x + 65 = x2 + -70x + 3341 Reorder the terms: 65 + 50x = x2 + -70x + 3341 Reorder the terms: 65 + 50x = 3341 + -70x + x2 Solving 65 + 50x = 3341 + -70x + x2 Solving for variable 'x'. Reorder the terms: 65 + -3341 + 50x + 70x + -1x2 = 3341 + -70x + x2 + -3341 + 70x + -1x2 Combine like terms: 65 + -3341 = -3276 -3276 + 50x + 70x + -1x2 = 3341 + -70x + x2 + -3341 + 70x + -1x2 Combine like terms: 50x + 70x = 120x -3276 + 120x + -1x2 = 3341 + -70x + x2 + -3341 + 70x + -1x2 Reorder the terms: -3276 + 120x + -1x2 = 3341 + -3341 + -70x + 70x + x2 + -1x2 Combine like terms: 3341 + -3341 = 0 -3276 + 120x + -1x2 = 0 + -70x + 70x + x2 + -1x2 -3276 + 120x + -1x2 = -70x + 70x + x2 + -1x2 Combine like terms: -70x + 70x = 0 -3276 + 120x + -1x2 = 0 + x2 + -1x2 -3276 + 120x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3276 + 120x + -1x2 = 0 Factor a trinomial. (-78 + x)(42 + -1x) = 0Subproblem 1
Set the factor '(-78 + x)' equal to zero and attempt to solve: Simplifying -78 + x = 0 Solving -78 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '78' to each side of the equation. -78 + 78 + x = 0 + 78 Combine like terms: -78 + 78 = 0 0 + x = 0 + 78 x = 0 + 78 Combine like terms: 0 + 78 = 78 x = 78 Simplifying x = 78Subproblem 2
Set the factor '(42 + -1x)' equal to zero and attempt to solve: Simplifying 42 + -1x = 0 Solving 42 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -1x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -1x = 0 + -42 -1x = 0 + -42 Combine like terms: 0 + -42 = -42 -1x = -42 Divide each side by '-1'. x = 42 Simplifying x = 42Solution
x = {78, 42}
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