(X-3)(x+5)=x(x+x)-7x-15

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Solution for (X-3)(x+5)=x(x+x)-7x-15 equation: 


Simplifying
(X + -3)(x + 5) = x(x + x) + -7x + -15

Reorder the terms:
(-3 + X)(x + 5) = x(x + x) + -7x + -15

Reorder the terms:
(-3 + X)(5 + x) = x(x + x) + -7x + -15

Multiply (-3 + X) * (5 + x)
(-3(5 + x) + X(5 + x)) = x(x + x) + -7x + -15
((5 * -3 + x * -3) + X(5 + x)) = x(x + x) + -7x + -15
((-15 + -3x) + X(5 + x)) = x(x + x) + -7x + -15
(-15 + -3x + (5 * X + x * X)) = x(x + x) + -7x + -15
(-15 + -3x + (5X + xX)) = x(x + x) + -7x + -15

Reorder the terms:
(-15 + 5X + -3x + xX) = x(x + x) + -7x + -15
(-15 + 5X + -3x + xX) = x(x + x) + -7x + -15

Combine like terms: x + x = 2x
-15 + 5X + -3x + xX = x(2x) + -7x + -15

Remove parenthesis around (2x)
-15 + 5X + -3x + xX = x * 2x + -7x + -15

Reorder the terms for easier multiplication:
-15 + 5X + -3x + xX = 2x * x + -7x + -15

Multiply x * x
-15 + 5X + -3x + xX = 2x2 + -7x + -15

Reorder the terms:
-15 + 5X + -3x + xX = -15 + -7x + 2x2

Add '15' to each side of the equation.
-15 + 5X + -3x + 15 + xX = -15 + -7x + 15 + 2x2

Reorder the terms:
-15 + 15 + 5X + -3x + xX = -15 + -7x + 15 + 2x2

Combine like terms: -15 + 15 = 0
0 + 5X + -3x + xX = -15 + -7x + 15 + 2x2
5X + -3x + xX = -15 + -7x + 15 + 2x2

Reorder the terms:
5X + -3x + xX = -15 + 15 + -7x + 2x2

Combine like terms: -15 + 15 = 0
5X + -3x + xX = 0 + -7x + 2x2
5X + -3x + xX = -7x + 2x2

Solving
5X + -3x + xX = -7x + 2x2

Solving for variable 'X'.

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

Add '3x' to each side of the equation.
5X + -3x + 3x + xX = -7x + 3x + 2x2

Combine like terms: -3x + 3x = 0
5X + 0 + xX = -7x + 3x + 2x2
5X + xX = -7x + 3x + 2x2

Combine like terms: -7x + 3x = -4x
5X + xX = -4x + 2x2

Reorder the terms:
5X + 4x + xX + -2x2 = -4x + 2x2 + 4x + -2x2

Reorder the terms:
5X + 4x + xX + -2x2 = -4x + 4x + 2x2 + -2x2

Combine like terms: -4x + 4x = 0
5X + 4x + xX + -2x2 = 0 + 2x2 + -2x2
5X + 4x + xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
5X + 4x + xX + -2x2 = 0

The solution to this equation could not be determined.

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