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Simplifying 110 = (3 + 5x) * x Reorder the terms for easier multiplication: 110 = x(3 + 5x) 110 = (3 * x + 5x * x) 110 = (3x + 5x2) Solving 110 = 3x + 5x2 Solving for variable 'x'. Reorder the terms: 110 + -3x + -5x2 = 3x + -3x + 5x2 + -5x2 Combine like terms: 3x + -3x = 0 110 + -3x + -5x2 = 0 + 5x2 + -5x2 110 + -3x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 110 + -3x + -5x2 = 0 Factor a trinomial. (22 + -5x)(5 + x) = 0Subproblem 1
Set the factor '(22 + -5x)' equal to zero and attempt to solve: Simplifying 22 + -5x = 0 Solving 22 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -5x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -5x = 0 + -22 -5x = 0 + -22 Combine like terms: 0 + -22 = -22 -5x = -22 Divide each side by '-5'. x = 4.4 Simplifying x = 4.4Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {4.4, -5}
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