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Simplifying 21X2 + 22X + 5 = 0 Reorder the terms: 5 + 22X + 21X2 = 0 Solving 5 + 22X + 21X2 = 0 Solving for variable 'X'. Factor a trinomial. (5 + 7X)(1 + 3X) = 0Subproblem 1
Set the factor '(5 + 7X)' equal to zero and attempt to solve: Simplifying 5 + 7X = 0 Solving 5 + 7X = 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 + 7X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7X = 0 + -5 7X = 0 + -5 Combine like terms: 0 + -5 = -5 7X = -5 Divide each side by '7'. X = -0.7142857143 Simplifying X = -0.7142857143Subproblem 2
Set the factor '(1 + 3X)' equal to zero and attempt to solve: Simplifying 1 + 3X = 0 Solving 1 + 3X = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3X = 0 + -1 3X = 0 + -1 Combine like terms: 0 + -1 = -1 3X = -1 Divide each side by '3'. X = -0.3333333333 Simplifying X = -0.3333333333Solution
X = {-0.7142857143, -0.3333333333}
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