0=8x^2+10x-25

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Solution for 0=8x^2+10x-25 equation: 


Simplifying
0 = 8x2 + 10x + -25

Reorder the terms:
0 = -25 + 10x + 8x2

Solving
0 = -25 + 10x + 8x2

Solving for variable 'x'.

Combine like terms: 0 + 25 = 25
25 + -10x + -8x2 = -25 + 10x + 8x2 + 25 + -10x + -8x2

Reorder the terms:
25 + -10x + -8x2 = -25 + 25 + 10x + -10x + 8x2 + -8x2

Combine like terms: -25 + 25 = 0
25 + -10x + -8x2 = 0 + 10x + -10x + 8x2 + -8x2
25 + -10x + -8x2 = 10x + -10x + 8x2 + -8x2

Combine like terms: 10x + -10x = 0
25 + -10x + -8x2 = 0 + 8x2 + -8x2
25 + -10x + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
25 + -10x + -8x2 = 0

Factor a trinomial.
(5 + -4x)(5 + 2x) = 0


Subproblem 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 = 1.25

Subproblem 2
Set the factor '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 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 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5
Solution
x = {1.25, -2.5}

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