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Simplifying x(5 + 2x) = 3400 (5 * x + 2x * x) = 3400 (5x + 2x2) = 3400 Solving 5x + 2x2 = 3400 Solving for variable 'x'. Reorder the terms: -3400 + 5x + 2x2 = 3400 + -3400 Combine like terms: 3400 + -3400 = 0 -3400 + 5x + 2x2 = 0 Factor a trinomial. (-85 + -2x)(40 + -1x) = 0Subproblem 1
Set the factor '(-85 + -2x)' equal to zero and attempt to solve: Simplifying -85 + -2x = 0 Solving -85 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '85' to each side of the equation. -85 + 85 + -2x = 0 + 85 Combine like terms: -85 + 85 = 0 0 + -2x = 0 + 85 -2x = 0 + 85 Combine like terms: 0 + 85 = 85 -2x = 85 Divide each side by '-2'. x = -42.5 Simplifying x = -42.5Subproblem 2
Set the factor '(40 + -1x)' equal to zero and attempt to solve: Simplifying 40 + -1x = 0 Solving 40 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 0 + -40 -1x = 0 + -40 Combine like terms: 0 + -40 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40Solution
x = {-42.5, 40}
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