-6(x-2)*4(5n-3)=25

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Solution for -6(x-2)*4(5n-3)=25 equation:


Simplifying
-6(x + -2) * 4(5n + -3) = 25

Reorder the terms:
-6(-2 + x) * 4(5n + -3) = 25

Reorder the terms:
-6(-2 + x) * 4(-3 + 5n) = 25

Reorder the terms for easier multiplication:
-6 * 4(-2 + x)(-3 + 5n) = 25

Multiply -6 * 4
-24(-2 + x)(-3 + 5n) = 25

Multiply (-2 + x) * (-3 + 5n)
-24(-2(-3 + 5n) + x(-3 + 5n)) = 25
-24((-3 * -2 + 5n * -2) + x(-3 + 5n)) = 25
-24((6 + -10n) + x(-3 + 5n)) = 25
-24(6 + -10n + (-3 * x + 5n * x)) = 25

Reorder the terms:
-24(6 + -10n + (5nx + -3x)) = 25
-24(6 + -10n + (5nx + -3x)) = 25
-24(6 + -10n + 5nx + -3x) = 25
(6 * -24 + -10n * -24 + 5nx * -24 + -3x * -24) = 25
(-144 + 240n + -120nx + 72x) = 25

Solving
-144 + 240n + -120nx + 72x = 25

Solving for variable 'n'.

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

Add '144' to each side of the equation.
-144 + 240n + -120nx + 144 + 72x = 25 + 144

Reorder the terms:
-144 + 144 + 240n + -120nx + 72x = 25 + 144

Combine like terms: -144 + 144 = 0
0 + 240n + -120nx + 72x = 25 + 144
240n + -120nx + 72x = 25 + 144

Combine like terms: 25 + 144 = 169
240n + -120nx + 72x = 169

Add '-72x' to each side of the equation.
240n + -120nx + 72x + -72x = 169 + -72x

Combine like terms: 72x + -72x = 0
240n + -120nx + 0 = 169 + -72x
240n + -120nx = 169 + -72x

Reorder the terms:
-169 + 240n + -120nx + 72x = 169 + -72x + -169 + 72x

Reorder the terms:
-169 + 240n + -120nx + 72x = 169 + -169 + -72x + 72x

Combine like terms: 169 + -169 = 0
-169 + 240n + -120nx + 72x = 0 + -72x + 72x
-169 + 240n + -120nx + 72x = -72x + 72x

Combine like terms: -72x + 72x = 0
-169 + 240n + -120nx + 72x = 0

The solution to this equation could not be determined.

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