12x(-4x-6)=5x

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Solution for 12x(-4x-6)=5x equation: 


Simplifying
12x(-4x + -6) = 5x

Reorder the terms:
12x(-6 + -4x) = 5x
(-6 * 12x + -4x * 12x) = 5x
(-72x + -48x2) = 5x

Solving
-72x + -48x2 = 5x

Solving for variable 'x'.

Reorder the terms:
-72x + -5x + -48x2 = 5x + -5x

Combine like terms: -72x + -5x = -77x
-77x + -48x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-77x + -48x2 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(77 + 48x) = 0

Ignore the factor -1.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(77 + 48x)' equal to zero and attempt to solve:

Simplifying
77 + 48x = 0

Solving
77 + 48x = 0

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

Add '-77' to each side of the equation.
77 + -77 + 48x = 0 + -77

Combine like terms: 77 + -77 = 0
0 + 48x = 0 + -77
48x = 0 + -77

Combine like terms: 0 + -77 = -77
48x = -77

Divide each side by '48'.
x = -1.604166667

Simplifying
x = -1.604166667
Solution
x = {0, -1.604166667}

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