16x(x-2)=(8x-25)

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Solution for 16x(x-2)=(8x-25) equation: 


Simplifying
16x(x + -2) = (8x + -25)

Reorder the terms:
16x(-2 + x) = (8x + -25)
(-2 * 16x + x * 16x) = (8x + -25)
(-32x + 16x2) = (8x + -25)

Reorder the terms:
-32x + 16x2 = (-25 + 8x)

Remove parenthesis around (-25 + 8x)
-32x + 16x2 = -25 + 8x

Solving
-32x + 16x2 = -25 + 8x

Solving for variable 'x'.

Reorder the terms:
25 + -32x + -8x + 16x2 = -25 + 8x + 25 + -8x

Combine like terms: -32x + -8x = -40x
25 + -40x + 16x2 = -25 + 8x + 25 + -8x

Reorder the terms:
25 + -40x + 16x2 = -25 + 25 + 8x + -8x

Combine like terms: -25 + 25 = 0
25 + -40x + 16x2 = 0 + 8x + -8x
25 + -40x + 16x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
25 + -40x + 16x2 = 0

Factor a trinomial.
(5 + -4x)(5 + -4x) = 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 + -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
Solution
x = {1.25, 1.25}

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