1681x^2+1986x+305=0

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Solution for 1681x^2+1986x+305=0 equation:


Simplifying
1681x2 + 1986x + 305 = 0

Reorder the terms:
305 + 1986x + 1681x2 = 0

Solving
305 + 1986x + 1681x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + x)(305 + 1681x) = 0

Subproblem 1

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Subproblem 2

Set the factor '(305 + 1681x)' equal to zero and attempt to solve: Simplifying 305 + 1681x = 0 Solving 305 + 1681x = 0 Move all terms containing x to the left, all other terms to the right. Add '-305' to each side of the equation. 305 + -305 + 1681x = 0 + -305 Combine like terms: 305 + -305 = 0 0 + 1681x = 0 + -305 1681x = 0 + -305 Combine like terms: 0 + -305 = -305 1681x = -305 Divide each side by '1681'. x = -0.1814396193 Simplifying x = -0.1814396193

Solution

x = {-1, -0.1814396193}

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