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Simplifying (3 + -8x)(20 + x) = 0 Multiply (3 + -8x) * (20 + x) (3(20 + x) + -8x * (20 + x)) = 0 ((20 * 3 + x * 3) + -8x * (20 + x)) = 0 ((60 + 3x) + -8x * (20 + x)) = 0 (60 + 3x + (20 * -8x + x * -8x)) = 0 (60 + 3x + (-160x + -8x2)) = 0 Combine like terms: 3x + -160x = -157x (60 + -157x + -8x2) = 0 Solving 60 + -157x + -8x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -8x)(20 + x) = 0Subproblem 1
Set the factor '(3 + -8x)' equal to zero and attempt to solve: Simplifying 3 + -8x = 0 Solving 3 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 0 + -3 -8x = 0 + -3 Combine like terms: 0 + -3 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375Subproblem 2
Set the factor '(20 + x)' equal to zero and attempt to solve: Simplifying 20 + x = 0 Solving 20 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + x = 0 + -20 x = 0 + -20 Combine like terms: 0 + -20 = -20 x = -20 Simplifying x = -20Solution
x = {0.375, -20}
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