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Simplifying x2 + 30x + 225 = 400 Reorder the terms: 225 + 30x + x2 = 400 Solving 225 + 30x + x2 = 400 Solving for variable 'x'. Reorder the terms: 225 + -400 + 30x + x2 = 400 + -400 Combine like terms: 225 + -400 = -175 -175 + 30x + x2 = 400 + -400 Combine like terms: 400 + -400 = 0 -175 + 30x + x2 = 0 Factor a trinomial. (-35 + -1x)(5 + -1x) = 0Subproblem 1
Set the factor '(-35 + -1x)' equal to zero and attempt to solve: Simplifying -35 + -1x = 0 Solving -35 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -1x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -1x = 0 + 35 -1x = 0 + 35 Combine like terms: 0 + 35 = 35 -1x = 35 Divide each side by '-1'. x = -35 Simplifying x = -35Subproblem 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 = {-35, 5}
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