(X-1)(2x+14)=x(x+7)+168

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Solution for (X-1)(2x+14)=x(x+7)+168 equation: 


Simplifying
(X + -1)(2x + 14) = x(x + 7) + 168

Reorder the terms:
(-1 + X)(2x + 14) = x(x + 7) + 168

Reorder the terms:
(-1 + X)(14 + 2x) = x(x + 7) + 168

Multiply (-1 + X) * (14 + 2x)
(-1(14 + 2x) + X(14 + 2x)) = x(x + 7) + 168
((14 * -1 + 2x * -1) + X(14 + 2x)) = x(x + 7) + 168
((-14 + -2x) + X(14 + 2x)) = x(x + 7) + 168
(-14 + -2x + (14 * X + 2x * X)) = x(x + 7) + 168
(-14 + -2x + (14X + 2xX)) = x(x + 7) + 168

Reorder the terms:
(-14 + 14X + -2x + 2xX) = x(x + 7) + 168
(-14 + 14X + -2x + 2xX) = x(x + 7) + 168

Reorder the terms:
-14 + 14X + -2x + 2xX = x(7 + x) + 168
-14 + 14X + -2x + 2xX = (7 * x + x * x) + 168
-14 + 14X + -2x + 2xX = (7x + x2) + 168

Reorder the terms:
-14 + 14X + -2x + 2xX = 168 + 7x + x2

Solving
-14 + 14X + -2x + 2xX = 168 + 7x + x2

Solving for variable 'X'.

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

Add '14' to each side of the equation.
-14 + 14X + -2x + 14 + 2xX = 168 + 7x + 14 + x2

Reorder the terms:
-14 + 14 + 14X + -2x + 2xX = 168 + 7x + 14 + x2

Combine like terms: -14 + 14 = 0
0 + 14X + -2x + 2xX = 168 + 7x + 14 + x2
14X + -2x + 2xX = 168 + 7x + 14 + x2

Reorder the terms:
14X + -2x + 2xX = 168 + 14 + 7x + x2

Combine like terms: 168 + 14 = 182
14X + -2x + 2xX = 182 + 7x + x2

Add '2x' to each side of the equation.
14X + -2x + 2x + 2xX = 182 + 7x + 2x + x2

Combine like terms: -2x + 2x = 0
14X + 0 + 2xX = 182 + 7x + 2x + x2
14X + 2xX = 182 + 7x + 2x + x2

Combine like terms: 7x + 2x = 9x
14X + 2xX = 182 + 9x + x2

Reorder the terms:
-182 + 14X + -9x + 2xX + -1x2 = 182 + 9x + x2 + -182 + -9x + -1x2

Reorder the terms:
-182 + 14X + -9x + 2xX + -1x2 = 182 + -182 + 9x + -9x + x2 + -1x2

Combine like terms: 182 + -182 = 0
-182 + 14X + -9x + 2xX + -1x2 = 0 + 9x + -9x + x2 + -1x2
-182 + 14X + -9x + 2xX + -1x2 = 9x + -9x + x2 + -1x2

Combine like terms: 9x + -9x = 0
-182 + 14X + -9x + 2xX + -1x2 = 0 + x2 + -1x2
-182 + 14X + -9x + 2xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-182 + 14X + -9x + 2xX + -1x2 = 0

The solution to this equation could not be determined.

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