5x(x-6)=8x-48

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Solution for 5x(x-6)=8x-48 equation: 


Simplifying
5x(x + -6) = 8x + -48

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

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

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

Solving for variable 'x'.

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

Combine like terms: -30x + -8x = -38x
48 + -38x + 5x2 = -48 + 8x + 48 + -8x

Reorder the terms:
48 + -38x + 5x2 = -48 + 48 + 8x + -8x

Combine like terms: -48 + 48 = 0
48 + -38x + 5x2 = 0 + 8x + -8x
48 + -38x + 5x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
48 + -38x + 5x2 = 0

Factor a trinomial.
(8 + -5x)(6 + -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 '(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 = {1.6, 6}

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