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Simplifying 20x2 + 28x + 9 = 0 Reorder the terms: 9 + 28x + 20x2 = 0 Solving 9 + 28x + 20x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + 10x)(1 + 2x) = 0Subproblem 1
Set the factor '(9 + 10x)' equal to zero and attempt to solve: Simplifying 9 + 10x = 0 Solving 9 + 10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 10x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 10x = 0 + -9 10x = 0 + -9 Combine like terms: 0 + -9 = -9 10x = -9 Divide each side by '10'. x = -0.9 Simplifying x = -0.9Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {-0.9, -0.5}
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