(3x-1)(5x-8)=5x

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Solution for (3x-1)(5x-8)=5x equation: 


Simplifying
(3x + -1)(5x + -8) = 5x

Reorder the terms:
(-1 + 3x)(5x + -8) = 5x

Reorder the terms:
(-1 + 3x)(-8 + 5x) = 5x

Multiply (-1 + 3x) * (-8 + 5x)
(-1(-8 + 5x) + 3x * (-8 + 5x)) = 5x
((-8 * -1 + 5x * -1) + 3x * (-8 + 5x)) = 5x
((8 + -5x) + 3x * (-8 + 5x)) = 5x
(8 + -5x + (-8 * 3x + 5x * 3x)) = 5x
(8 + -5x + (-24x + 15x2)) = 5x

Combine like terms: -5x + -24x = -29x
(8 + -29x + 15x2) = 5x

Solving
8 + -29x + 15x2 = 5x

Solving for variable 'x'.

Reorder the terms:
8 + -29x + -5x + 15x2 = 5x + -5x

Combine like terms: -29x + -5x = -34x
8 + -34x + 15x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
8 + -34x + 15x2 = 0

Factor a trinomial.
(4 + -15x)(2 + -1x) = 0


Subproblem 1
Set the factor '(4 + -15x)' equal to zero and attempt to solve:

Simplifying
4 + -15x = 0

Solving
4 + -15x = 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 + -15x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -15x = 0 + -4
-15x = 0 + -4

Combine like terms: 0 + -4 = -4
-15x = -4

Divide each side by '-15'.
x = 0.2666666667

Simplifying
x = 0.2666666667

Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0.2666666667, 2}

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