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Simplifying 40x + 20 = -9x(x + 1) Reorder the terms: 20 + 40x = -9x(x + 1) Reorder the terms: 20 + 40x = -9x(1 + x) 20 + 40x = (1 * -9x + x * -9x) 20 + 40x = (-9x + -9x2) Solving 20 + 40x = -9x + -9x2 Solving for variable 'x'. Combine like terms: 40x + 9x = 49x 20 + 49x + 9x2 = -9x + -9x2 + 9x + 9x2 Reorder the terms: 20 + 49x + 9x2 = -9x + 9x + -9x2 + 9x2 Combine like terms: -9x + 9x = 0 20 + 49x + 9x2 = 0 + -9x2 + 9x2 20 + 49x + 9x2 = -9x2 + 9x2 Combine like terms: -9x2 + 9x2 = 0 20 + 49x + 9x2 = 0 Factor a trinomial. (5 + x)(4 + 9x) = 0Subproblem 1
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 = -5Subproblem 2
Set the factor '(4 + 9x)' equal to zero and attempt to solve: Simplifying 4 + 9x = 0 Solving 4 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 9x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = 0 + -4 9x = 0 + -4 Combine like terms: 0 + -4 = -4 9x = -4 Divide each side by '9'. x = -0.4444444444 Simplifying x = -0.4444444444Solution
x = {-5, -0.4444444444}
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