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Simplifying 42x + x2 = 400 Solving 42x + x2 = 400 Solving for variable 'x'. Reorder the terms: -400 + 42x + x2 = 400 + -400 Combine like terms: 400 + -400 = 0 -400 + 42x + x2 = 0 Factor a trinomial. (-50 + -1x)(8 + -1x) = 0Subproblem 1
Set the factor '(-50 + -1x)' equal to zero and attempt to solve: Simplifying -50 + -1x = 0 Solving -50 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + -1x = 0 + 50 Combine like terms: -50 + 50 = 0 0 + -1x = 0 + 50 -1x = 0 + 50 Combine like terms: 0 + 50 = 50 -1x = 50 Divide each side by '-1'. x = -50 Simplifying x = -50Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-50, 8}
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