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Simplifying 5X2 = 18X + 35 Reorder the terms: 5X2 = 35 + 18X Solving 5X2 = 35 + 18X Solving for variable 'X'. Reorder the terms: -35 + -18X + 5X2 = 35 + 18X + -35 + -18X Reorder the terms: -35 + -18X + 5X2 = 35 + -35 + 18X + -18X Combine like terms: 35 + -35 = 0 -35 + -18X + 5X2 = 0 + 18X + -18X -35 + -18X + 5X2 = 18X + -18X Combine like terms: 18X + -18X = 0 -35 + -18X + 5X2 = 0 Factor a trinomial. (-7 + -5X)(5 + -1X) = 0Subproblem 1
Set the factor '(-7 + -5X)' equal to zero and attempt to solve: Simplifying -7 + -5X = 0 Solving -7 + -5X = 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 + -5X = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5X = 0 + 7 -5X = 0 + 7 Combine like terms: 0 + 7 = 7 -5X = 7 Divide each side by '-5'. X = -1.4 Simplifying X = -1.4Subproblem 2
Set the factor '(5 + -1X)' equal to zero and attempt to solve: Simplifying 5 + -1X = 0 Solving 5 + -1X = 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 + -1X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1X = 0 + -5 -1X = 0 + -5 Combine like terms: 0 + -5 = -5 -1X = -5 Divide each side by '-1'. X = 5 Simplifying X = 5Solution
X = {-1.4, 5}
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