0=25x^2-20x-32

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Solution for 0=25x^2-20x-32 equation: 


Simplifying
0 = 25x2 + -20x + -32

Reorder the terms:
0 = -32 + -20x + 25x2

Solving
0 = -32 + -20x + 25x2

Solving for variable 'x'.

Combine like terms: 0 + 32 = 32
32 + 20x + -25x2 = -32 + -20x + 25x2 + 32 + 20x + -25x2

Reorder the terms:
32 + 20x + -25x2 = -32 + 32 + -20x + 20x + 25x2 + -25x2

Combine like terms: -32 + 32 = 0
32 + 20x + -25x2 = 0 + -20x + 20x + 25x2 + -25x2
32 + 20x + -25x2 = -20x + 20x + 25x2 + -25x2

Combine like terms: -20x + 20x = 0
32 + 20x + -25x2 = 0 + 25x2 + -25x2
32 + 20x + -25x2 = 25x2 + -25x2

Combine like terms: 25x2 + -25x2 = 0
32 + 20x + -25x2 = 0

Factor a trinomial.
(8 + -5x)(4 + 5x) = 0


Subproblem 1
Set the factor '(8 + -5x)' equal to zero and attempt to solve:

Simplifying
8 + -5x = 0

Solving
8 + -5x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = 0 + -8
-5x = 0 + -8

Combine like terms: 0 + -8 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6

Subproblem 2
Set the factor '(4 + 5x)' equal to zero and attempt to solve:

Simplifying
4 + 5x = 0

Solving
4 + 5x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 0 + -4
5x = 0 + -4

Combine like terms: 0 + -4 = -4
5x = -4

Divide each side by '5'.
x = -0.8

Simplifying
x = -0.8
Solution
x = {1.6, -0.8}

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