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Simplifying (20x + 21)(3 + -10x) = 0 Reorder the terms: (21 + 20x)(3 + -10x) = 0 Multiply (21 + 20x) * (3 + -10x) (21(3 + -10x) + 20x * (3 + -10x)) = 0 ((3 * 21 + -10x * 21) + 20x * (3 + -10x)) = 0 ((63 + -210x) + 20x * (3 + -10x)) = 0 (63 + -210x + (3 * 20x + -10x * 20x)) = 0 (63 + -210x + (60x + -200x2)) = 0 Combine like terms: -210x + 60x = -150x (63 + -150x + -200x2) = 0 Solving 63 + -150x + -200x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -10x)(21 + 20x) = 0Subproblem 1
Set the factor '(3 + -10x)' equal to zero and attempt to solve: Simplifying 3 + -10x = 0 Solving 3 + -10x = 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 + -10x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -10x = 0 + -3 -10x = 0 + -3 Combine like terms: 0 + -3 = -3 -10x = -3 Divide each side by '-10'. x = 0.3 Simplifying x = 0.3Subproblem 2
Set the factor '(21 + 20x)' equal to zero and attempt to solve: Simplifying 21 + 20x = 0 Solving 21 + 20x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 20x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 20x = 0 + -21 20x = 0 + -21 Combine like terms: 0 + -21 = -21 20x = -21 Divide each side by '20'. x = -1.05 Simplifying x = -1.05Solution
x = {0.3, -1.05}
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