x(5x-8)-2(5x-8)=0

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Solution for x(5x-8)-2(5x-8)=0 equation: 


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

Reorder the terms:
x(-8 + 5x) + -2(5x + -8) = 0
(-8 * x + 5x * x) + -2(5x + -8) = 0
(-8x + 5x2) + -2(5x + -8) = 0

Reorder the terms:
-8x + 5x2 + -2(-8 + 5x) = 0
-8x + 5x2 + (-8 * -2 + 5x * -2) = 0
-8x + 5x2 + (16 + -10x) = 0

Reorder the terms:
16 + -8x + -10x + 5x2 = 0

Combine like terms: -8x + -10x = -18x
16 + -18x + 5x2 = 0

Solving
16 + -18x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8 + -5x)(2 + -1x) = 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 '(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 = {1.6, 2}

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