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Simplifying 25x2 + 58x + 16 = 0 Reorder the terms: 16 + 58x + 25x2 = 0 Solving 16 + 58x + 25x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + x)(8 + 25x) = 0Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 2
Set the factor '(8 + 25x)' equal to zero and attempt to solve: Simplifying 8 + 25x = 0 Solving 8 + 25x = 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 + 25x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 25x = 0 + -8 25x = 0 + -8 Combine like terms: 0 + -8 = -8 25x = -8 Divide each side by '25'. x = -0.32 Simplifying x = -0.32Solution
x = {-2, -0.32}
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