(5x-2)(8x-1)=

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Solution for (5x-2)(8x-1)= equation: 


Simplifying
(5x + -2)(8x + -1) = 0

Reorder the terms:
(-2 + 5x)(8x + -1) = 0

Reorder the terms:
(-2 + 5x)(-1 + 8x) = 0

Multiply (-2 + 5x) * (-1 + 8x)
(-2(-1 + 8x) + 5x * (-1 + 8x)) = 0
((-1 * -2 + 8x * -2) + 5x * (-1 + 8x)) = 0
((2 + -16x) + 5x * (-1 + 8x)) = 0
(2 + -16x + (-1 * 5x + 8x * 5x)) = 0
(2 + -16x + (-5x + 40x2)) = 0

Combine like terms: -16x + -5x = -21x
(2 + -21x + 40x2) = 0

Solving
2 + -21x + 40x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -8x)(2 + -5x) = 0


Subproblem 1
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

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

Simplifying
2 + -5x = 0

Solving
2 + -5x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5x = 0 + -2

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

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

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4
Solution
x = {0.125, 0.4}

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