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Simplifying x2 + 40 + 10x + 35 = 30x Reorder the terms: 40 + 35 + 10x + x2 = 30x Combine like terms: 40 + 35 = 75 75 + 10x + x2 = 30x Solving 75 + 10x + x2 = 30x Solving for variable 'x'. Reorder the terms: 75 + 10x + -30x + x2 = 30x + -30x Combine like terms: 10x + -30x = -20x 75 + -20x + x2 = 30x + -30x Combine like terms: 30x + -30x = 0 75 + -20x + x2 = 0 Factor a trinomial. (5 + -1x)(15 + -1x) = 0Subproblem 1
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 = 5Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {5, 15}
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