(X-4)(x+2)-7=0

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Solution for (X-4)(x+2)-7=0 equation:


Simplifying
(X + -4)(x + 2) + -7 = 0

Reorder the terms:
(-4 + X)(x + 2) + -7 = 0

Reorder the terms:
(-4 + X)(2 + x) + -7 = 0

Multiply (-4 + X) * (2 + x)
(-4(2 + x) + X(2 + x)) + -7 = 0
((2 * -4 + x * -4) + X(2 + x)) + -7 = 0
((-8 + -4x) + X(2 + x)) + -7 = 0
(-8 + -4x + (2 * X + x * X)) + -7 = 0
(-8 + -4x + (2X + xX)) + -7 = 0

Reorder the terms:
(-8 + 2X + -4x + xX) + -7 = 0
(-8 + 2X + -4x + xX) + -7 = 0

Reorder the terms:
-8 + -7 + 2X + -4x + xX = 0

Combine like terms: -8 + -7 = -15
-15 + 2X + -4x + xX = 0

Solving
-15 + 2X + -4x + xX = 0

Solving for variable 'X'.

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

Add '15' to each side of the equation.
-15 + 2X + -4x + 15 + xX = 0 + 15

Reorder the terms:
-15 + 15 + 2X + -4x + xX = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 2X + -4x + xX = 0 + 15
2X + -4x + xX = 0 + 15

Combine like terms: 0 + 15 = 15
2X + -4x + xX = 15

Add '4x' to each side of the equation.
2X + -4x + 4x + xX = 15 + 4x

Combine like terms: -4x + 4x = 0
2X + 0 + xX = 15 + 4x
2X + xX = 15 + 4x

Reorder the terms:
-15 + 2X + -4x + xX = 15 + 4x + -15 + -4x

Reorder the terms:
-15 + 2X + -4x + xX = 15 + -15 + 4x + -4x

Combine like terms: 15 + -15 = 0
-15 + 2X + -4x + xX = 0 + 4x + -4x
-15 + 2X + -4x + xX = 4x + -4x

Combine like terms: 4x + -4x = 0
-15 + 2X + -4x + xX = 0

The solution to this equation could not be determined.

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