7x(x+8)=6x+48

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Solution for 7x(x+8)=6x+48 equation: 


Simplifying
7x(x + 8) = 6x + 48

Reorder the terms:
7x(8 + x) = 6x + 48
(8 * 7x + x * 7x) = 6x + 48
(56x + 7x2) = 6x + 48

Reorder the terms:
56x + 7x2 = 48 + 6x

Solving
56x + 7x2 = 48 + 6x

Solving for variable 'x'.

Reorder the terms:
-48 + 56x + -6x + 7x2 = 48 + 6x + -48 + -6x

Combine like terms: 56x + -6x = 50x
-48 + 50x + 7x2 = 48 + 6x + -48 + -6x

Reorder the terms:
-48 + 50x + 7x2 = 48 + -48 + 6x + -6x

Combine like terms: 48 + -48 = 0
-48 + 50x + 7x2 = 0 + 6x + -6x
-48 + 50x + 7x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-48 + 50x + 7x2 = 0

Factor a trinomial.
(-8 + -1x)(6 + -7x) = 0


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 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 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(6 + -7x)' equal to zero and attempt to solve:

Simplifying
6 + -7x = 0

Solving
6 + -7x = 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 + -7x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = 0 + -6
-7x = 0 + -6

Combine like terms: 0 + -6 = -6
-7x = -6

Divide each side by '-7'.
x = 0.8571428571

Simplifying
x = 0.8571428571
Solution
x = {-8, 0.8571428571}

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