(X+5)(x-6)=10+5x

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Solution for (X+5)(x-6)=10+5x equation:


Simplifying
(X + 5)(x + -6) = 10 + 5x

Reorder the terms:
(5 + X)(x + -6) = 10 + 5x

Reorder the terms:
(5 + X)(-6 + x) = 10 + 5x

Multiply (5 + X) * (-6 + x)
(5(-6 + x) + X(-6 + x)) = 10 + 5x
((-6 * 5 + x * 5) + X(-6 + x)) = 10 + 5x
((-30 + 5x) + X(-6 + x)) = 10 + 5x
(-30 + 5x + (-6 * X + x * X)) = 10 + 5x
(-30 + 5x + (-6X + xX)) = 10 + 5x

Reorder the terms:
(-30 + -6X + 5x + xX) = 10 + 5x
(-30 + -6X + 5x + xX) = 10 + 5x

Add '-5x' to each side of the equation.
-30 + -6X + 5x + -5x + xX = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-30 + -6X + 0 + xX = 10 + 5x + -5x
-30 + -6X + xX = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-30 + -6X + xX = 10 + 0
-30 + -6X + xX = 10

Solving
-30 + -6X + xX = 10

Solving for variable 'X'.

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

Add '30' to each side of the equation.
-30 + -6X + 30 + xX = 10 + 30

Reorder the terms:
-30 + 30 + -6X + xX = 10 + 30

Combine like terms: -30 + 30 = 0
0 + -6X + xX = 10 + 30
-6X + xX = 10 + 30

Combine like terms: 10 + 30 = 40
-6X + xX = 40

Reorder the terms:
-40 + -6X + xX = 40 + -40

Combine like terms: 40 + -40 = 0
-40 + -6X + xX = 0

The solution to this equation could not be determined.

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