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Simplifying 25x2 + -9x + 16 = -49x Reorder the terms: 16 + -9x + 25x2 = -49x Solving 16 + -9x + 25x2 = -49x Solving for variable 'x'. Reorder the terms: 16 + -9x + 49x + 25x2 = -49x + 49x Combine like terms: -9x + 49x = 40x 16 + 40x + 25x2 = -49x + 49x Combine like terms: -49x + 49x = 0 16 + 40x + 25x2 = 0 Factor a trinomial. (4 + 5x)(4 + 5x) = 0Subproblem 1
Set the factor '(4 + 5x)' equal to zero and attempt to solve: Simplifying 4 + 5x = 0 Solving 4 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4 Combine like terms: 0 + -4 = -4 5x = -4 Divide each side by '5'. x = -0.8 Simplifying x = -0.8Subproblem 2
Set the factor '(4 + 5x)' equal to zero and attempt to solve: Simplifying 4 + 5x = 0 Solving 4 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4 Combine like terms: 0 + -4 = -4 5x = -4 Divide each side by '5'. x = -0.8 Simplifying x = -0.8Solution
x = {-0.8, -0.8}
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