25x^2+10x=-1

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Solution for 25x^2+10x=-1 equation:


Simplifying
25x2 + 10x = -1

Reorder the terms:
10x + 25x2 = -1

Solving
10x + 25x2 = -1

Solving for variable 'x'.

Reorder the terms:
1 + 10x + 25x2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + 10x + 25x2 = 0

Factor a trinomial.
(1 + 5x)(1 + 5x) = 0

Subproblem 1

Set the factor '(1 + 5x)' equal to zero and attempt to solve: Simplifying 1 + 5x = 0 Solving 1 + 5x = 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 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2

Subproblem 2

Set the factor '(1 + 5x)' equal to zero and attempt to solve: Simplifying 1 + 5x = 0 Solving 1 + 5x = 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 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2

Solution

x = {-0.2, -0.2}

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