(8x+48)*(6x-18)=0

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Solution for (8x+48)*(6x-18)=0 equation: 


Simplifying
(8x + 48)(6x + -18) = 0

Reorder the terms:
(48 + 8x)(6x + -18) = 0

Reorder the terms:
(48 + 8x)(-18 + 6x) = 0

Multiply (48 + 8x) * (-18 + 6x)
(48(-18 + 6x) + 8x * (-18 + 6x)) = 0
((-18 * 48 + 6x * 48) + 8x * (-18 + 6x)) = 0
((-864 + 288x) + 8x * (-18 + 6x)) = 0
(-864 + 288x + (-18 * 8x + 6x * 8x)) = 0
(-864 + 288x + (-144x + 48x2)) = 0

Combine like terms: 288x + -144x = 144x
(-864 + 144x + 48x2) = 0

Solving
-864 + 144x + 48x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '48'.
48(-18 + 3x + x2) = 0

Factor a trinomial.
48((-6 + -1x)(3 + -1x)) = 0

Ignore the factor 48.

Subproblem 1
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

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-6, 3}

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