(X+4)(2x-7)=x(x+4)

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Solution for (X+4)(2x-7)=x(x+4) equation: 


Simplifying
(X + 4)(2x + -7) = x(x + 4)

Reorder the terms:
(4 + X)(2x + -7) = x(x + 4)

Reorder the terms:
(4 + X)(-7 + 2x) = x(x + 4)

Multiply (4 + X) * (-7 + 2x)
(4(-7 + 2x) + X(-7 + 2x)) = x(x + 4)
((-7 * 4 + 2x * 4) + X(-7 + 2x)) = x(x + 4)
((-28 + 8x) + X(-7 + 2x)) = x(x + 4)
(-28 + 8x + (-7 * X + 2x * X)) = x(x + 4)
(-28 + 8x + (-7X + 2xX)) = x(x + 4)

Reorder the terms:
(-28 + -7X + 8x + 2xX) = x(x + 4)
(-28 + -7X + 8x + 2xX) = x(x + 4)

Reorder the terms:
-28 + -7X + 8x + 2xX = x(4 + x)
-28 + -7X + 8x + 2xX = (4 * x + x * x)
-28 + -7X + 8x + 2xX = (4x + x2)

Solving
-28 + -7X + 8x + 2xX = 4x + x2

Solving for variable 'X'.

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

Add '28' to each side of the equation.
-28 + -7X + 8x + 28 + 2xX = 4x + 28 + x2

Reorder the terms:
-28 + 28 + -7X + 8x + 2xX = 4x + 28 + x2

Combine like terms: -28 + 28 = 0
0 + -7X + 8x + 2xX = 4x + 28 + x2
-7X + 8x + 2xX = 4x + 28 + x2

Reorder the terms:
-7X + 8x + 2xX = 28 + 4x + x2

Add '-8x' to each side of the equation.
-7X + 8x + -8x + 2xX = 28 + 4x + -8x + x2

Combine like terms: 8x + -8x = 0
-7X + 0 + 2xX = 28 + 4x + -8x + x2
-7X + 2xX = 28 + 4x + -8x + x2

Combine like terms: 4x + -8x = -4x
-7X + 2xX = 28 + -4x + x2

Reorder the terms:
-28 + -7X + 4x + 2xX + -1x2 = 28 + -4x + x2 + -28 + 4x + -1x2

Reorder the terms:
-28 + -7X + 4x + 2xX + -1x2 = 28 + -28 + -4x + 4x + x2 + -1x2

Combine like terms: 28 + -28 = 0
-28 + -7X + 4x + 2xX + -1x2 = 0 + -4x + 4x + x2 + -1x2
-28 + -7X + 4x + 2xX + -1x2 = -4x + 4x + x2 + -1x2

Combine like terms: -4x + 4x = 0
-28 + -7X + 4x + 2xX + -1x2 = 0 + x2 + -1x2
-28 + -7X + 4x + 2xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-28 + -7X + 4x + 2xX + -1x2 = 0

The solution to this equation could not be determined.

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