8x*(x-6)=5*(x-6)

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Solution for 8x*(x-6)=5*(x-6) equation: 


Simplifying
8x(x + -6) = 5(x + -6)

Reorder the terms:
8x(-6 + x) = 5(x + -6)
(-6 * 8x + x * 8x) = 5(x + -6)
(-48x + 8x2) = 5(x + -6)

Reorder the terms:
-48x + 8x2 = 5(-6 + x)
-48x + 8x2 = (-6 * 5 + x * 5)
-48x + 8x2 = (-30 + 5x)

Solving
-48x + 8x2 = -30 + 5x

Solving for variable 'x'.

Reorder the terms:
30 + -48x + -5x + 8x2 = -30 + 5x + 30 + -5x

Combine like terms: -48x + -5x = -53x
30 + -53x + 8x2 = -30 + 5x + 30 + -5x

Reorder the terms:
30 + -53x + 8x2 = -30 + 30 + 5x + -5x

Combine like terms: -30 + 30 = 0
30 + -53x + 8x2 = 0 + 5x + -5x
30 + -53x + 8x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
30 + -53x + 8x2 = 0

Factor a trinomial.
(5 + -8x)(6 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {0.625, 6}

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