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Simplifying 0 = -2x2 + -21x + -40 Reorder the terms: 0 = -40 + -21x + -2x2 Solving 0 = -40 + -21x + -2x2 Solving for variable 'x'. Combine like terms: 0 + 40 = 40 40 + 21x + 2x2 = -40 + -21x + -2x2 + 40 + 21x + 2x2 Reorder the terms: 40 + 21x + 2x2 = -40 + 40 + -21x + 21x + -2x2 + 2x2 Combine like terms: -40 + 40 = 0 40 + 21x + 2x2 = 0 + -21x + 21x + -2x2 + 2x2 40 + 21x + 2x2 = -21x + 21x + -2x2 + 2x2 Combine like terms: -21x + 21x = 0 40 + 21x + 2x2 = 0 + -2x2 + 2x2 40 + 21x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 40 + 21x + 2x2 = 0 Factor a trinomial. (8 + x)(5 + 2x) = 0Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Subproblem 2
Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 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 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Solution
x = {-8, -2.5}
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