3x^2+100x+625=0

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Solution for 3x^2+100x+625=0 equation: 


Simplifying
3x2 + 100x + 625 = 0

Reorder the terms:
625 + 100x + 3x2 = 0

Solving
625 + 100x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(25 + x)(25 + 3x) = 0


Subproblem 1
Set the factor '(25 + x)' equal to zero and attempt to solve:

Simplifying
25 + x = 0

Solving
25 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-25' to each side of the equation.
25 + -25 + x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + x = 0 + -25
x = 0 + -25

Combine like terms: 0 + -25 = -25
x = -25

Simplifying
x = -25

Subproblem 2
Set the factor '(25 + 3x)' equal to zero and attempt to solve:

Simplifying
25 + 3x = 0

Solving
25 + 3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-25' to each side of the equation.
25 + -25 + 3x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 3x = 0 + -25
3x = 0 + -25

Combine like terms: 0 + -25 = -25
3x = -25

Divide each side by '3'.
x = -8.333333333

Simplifying
x = -8.333333333
Solution
x = {-25, -8.333333333}

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