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Simplifying 16x2 + 41x + 25 = x Reorder the terms: 25 + 41x + 16x2 = x Solving 25 + 41x + 16x2 = x Solving for variable 'x'. Reorder the terms: 25 + 41x + -1x + 16x2 = x + -1x Combine like terms: 41x + -1x = 40x 25 + 40x + 16x2 = x + -1x Combine like terms: x + -1x = 0 25 + 40x + 16x2 = 0 Factor a trinomial. (5 + 4x)(5 + 4x) = 0Subproblem 1
Set the factor '(5 + 4x)' equal to zero and attempt to solve: Simplifying 5 + 4x = 0 Solving 5 + 4x = 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 + 4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 0 + -5 4x = 0 + -5 Combine like terms: 0 + -5 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25Subproblem 2
Set the factor '(5 + 4x)' equal to zero and attempt to solve: Simplifying 5 + 4x = 0 Solving 5 + 4x = 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 + 4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 0 + -5 4x = 0 + -5 Combine like terms: 0 + -5 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25Solution
x = {-1.25, -1.25}
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