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Simplifying X2 + 28X = 204 Reorder the terms: 28X + X2 = 204 Solving 28X + X2 = 204 Solving for variable 'X'. Reorder the terms: -204 + 28X + X2 = 204 + -204 Combine like terms: 204 + -204 = 0 -204 + 28X + X2 = 0 Factor a trinomial. (-34 + -1X)(6 + -1X) = 0Subproblem 1
Set the factor '(-34 + -1X)' equal to zero and attempt to solve: Simplifying -34 + -1X = 0 Solving -34 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + -1X = 0 + 34 Combine like terms: -34 + 34 = 0 0 + -1X = 0 + 34 -1X = 0 + 34 Combine like terms: 0 + 34 = 34 -1X = 34 Divide each side by '-1'. X = -34 Simplifying X = -34Subproblem 2
Set the factor '(6 + -1X)' equal to zero and attempt to solve: Simplifying 6 + -1X = 0 Solving 6 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1X = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1X = 0 + -6 -1X = 0 + -6 Combine like terms: 0 + -6 = -6 -1X = -6 Divide each side by '-1'. X = 6 Simplifying X = 6Solution
X = {-34, 6}
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