0=8x^2+25x+3

Solution for 0=8x^2+25x+3 equation:

Simplifying
0 = 8x2 + 25x + 3

Reorder the terms:
0 = 3 + 25x + 8x2

Solving
0 = 3 + 25x + 8x2

Solving for variable 'x'.

Combine like terms: 0 + -3 = -3
-3 + -25x + -8x2 = 3 + 25x + 8x2 + -3 + -25x + -8x2

Reorder the terms:
-3 + -25x + -8x2 = 3 + -3 + 25x + -25x + 8x2 + -8x2

Combine like terms: 3 + -3 = 0
-3 + -25x + -8x2 = 0 + 25x + -25x + 8x2 + -8x2
-3 + -25x + -8x2 = 25x + -25x + 8x2 + -8x2

Combine like terms: 25x + -25x = 0
-3 + -25x + -8x2 = 0 + 8x2 + -8x2
-3 + -25x + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-3 + -25x + -8x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + 25x + 8x2) = 0

Factor a trinomial.
-1((3 + x)(1 + 8x)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

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

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

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

Simplifying
x = -3
Subproblem 2
Set the factor '(1 + 8x)' equal to zero and attempt to solve:

Simplifying
1 + 8x = 0

Solving
1 + 8x = 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 + 8x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8x = 0 + -1
8x = 0 + -1

Combine like terms: 0 + -1 = -1
8x = -1

Divide each side by '8'.
x = -0.125

Simplifying
x = -0.125
Solution
x = {-3, -0.125}