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Simplifying 25x2 + 40x + 400 = 409 Reorder the terms: 400 + 40x + 25x2 = 409 Solving 400 + 40x + 25x2 = 409 Solving for variable 'x'. Reorder the terms: 400 + -409 + 40x + 25x2 = 409 + -409 Combine like terms: 400 + -409 = -9 -9 + 40x + 25x2 = 409 + -409 Combine like terms: 409 + -409 = 0 -9 + 40x + 25x2 = 0 Factor a trinomial. (-9 + -5x)(1 + -5x) = 0Subproblem 1
Set the factor '(-9 + -5x)' equal to zero and attempt to solve: Simplifying -9 + -5x = 0 Solving -9 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -5x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -5x = 0 + 9 -5x = 0 + 9 Combine like terms: 0 + 9 = 9 -5x = 9 Divide each side by '-5'. x = -1.8 Simplifying x = -1.8Subproblem 2
Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Solution
x = {-1.8, 0.2}
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