(6x-10)2x=48

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Solution for (6x-10)2x=48 equation: 


Simplifying
(6x + -10) * 2x = 48

Reorder the terms:
(-10 + 6x) * 2x = 48

Reorder the terms for easier multiplication:
2x(-10 + 6x) = 48
(-10 * 2x + 6x * 2x) = 48
(-20x + 12x2) = 48

Solving
-20x + 12x2 = 48

Solving for variable 'x'.

Reorder the terms:
-48 + -20x + 12x2 = 48 + -48

Combine like terms: 48 + -48 = 0
-48 + -20x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-12 + -5x + 3x2) = 0

Factor a trinomial.
4((-4 + -3x)(3 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve:

Simplifying
-4 + -3x = 0

Solving
-4 + -3x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = 0 + 4
-3x = 0 + 4

Combine like terms: 0 + 4 = 4
-3x = 4

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

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 = {-1.333333333, 3}

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