(8x-5)*(5x-1)=

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Solution for (8x-5)*(5x-1)= equation: 


Simplifying
(8x + -5)(5x + -1) = 0

Reorder the terms:
(-5 + 8x)(5x + -1) = 0

Reorder the terms:
(-5 + 8x)(-1 + 5x) = 0

Multiply (-5 + 8x) * (-1 + 5x)
(-5(-1 + 5x) + 8x * (-1 + 5x)) = 0
((-1 * -5 + 5x * -5) + 8x * (-1 + 5x)) = 0
((5 + -25x) + 8x * (-1 + 5x)) = 0
(5 + -25x + (-1 * 8x + 5x * 8x)) = 0
(5 + -25x + (-8x + 40x2)) = 0

Combine like terms: -25x + -8x = -33x
(5 + -33x + 40x2) = 0

Solving
5 + -33x + 40x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -5x)(5 + -8x) = 0


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

Simplifying
1 + -5x = 0

Solving
1 + -5x = 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 + -5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = 0 + -1
-5x = 0 + -1

Combine like terms: 0 + -1 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2

Subproblem 2
Set the factor '(5 + -8x)' equal to zero and attempt to solve:

Simplifying
5 + -8x = 0

Solving
5 + -8x = 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 + -8x = 0 + -5

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

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

Divide each side by '-8'.
x = 0.625

Simplifying
x = 0.625
Solution
x = {0.2, 0.625}

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