(X^2-4x-3)(2x+7)=

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Solution for (X^2-4x-3)(2x+7)= equation: 


Simplifying
(X2 + -4x + -3)(2x + 7) = 0

Reorder the terms:
(-3 + X2 + -4x)(2x + 7) = 0

Reorder the terms:
(-3 + X2 + -4x)(7 + 2x) = 0

Multiply (-3 + X2 + -4x) * (7 + 2x)
(-3(7 + 2x) + X2(7 + 2x) + -4x * (7 + 2x)) = 0
((7 * -3 + 2x * -3) + X2(7 + 2x) + -4x * (7 + 2x)) = 0
((-21 + -6x) + X2(7 + 2x) + -4x * (7 + 2x)) = 0
(-21 + -6x + (7 * X2 + 2x * X2) + -4x * (7 + 2x)) = 0
(-21 + -6x + (7X2 + 2xX2) + -4x * (7 + 2x)) = 0
(-21 + -6x + 7X2 + 2xX2 + (7 * -4x + 2x * -4x)) = 0
(-21 + -6x + 7X2 + 2xX2 + (-28x + -8x2)) = 0

Reorder the terms:
(-21 + 7X2 + -6x + -28x + 2xX2 + -8x2) = 0

Combine like terms: -6x + -28x = -34x
(-21 + 7X2 + -34x + 2xX2 + -8x2) = 0

Solving
-21 + 7X2 + -34x + 2xX2 + -8x2 = 0

Solving for variable 'X'.

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

Add '21' to each side of the equation.
-21 + 7X2 + -34x + 2xX2 + 21 + -8x2 = 0 + 21

Reorder the terms:
-21 + 21 + 7X2 + -34x + 2xX2 + -8x2 = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 7X2 + -34x + 2xX2 + -8x2 = 0 + 21
7X2 + -34x + 2xX2 + -8x2 = 0 + 21

Combine like terms: 0 + 21 = 21
7X2 + -34x + 2xX2 + -8x2 = 21

Add '34x' to each side of the equation.
7X2 + -34x + 2xX2 + 34x + -8x2 = 21 + 34x

Reorder the terms:
7X2 + -34x + 34x + 2xX2 + -8x2 = 21 + 34x

Combine like terms: -34x + 34x = 0
7X2 + 0 + 2xX2 + -8x2 = 21 + 34x
7X2 + 2xX2 + -8x2 = 21 + 34x

Add '8x2' to each side of the equation.
7X2 + 2xX2 + -8x2 + 8x2 = 21 + 34x + 8x2

Combine like terms: -8x2 + 8x2 = 0
7X2 + 2xX2 + 0 = 21 + 34x + 8x2
7X2 + 2xX2 = 21 + 34x + 8x2

Reorder the terms:
-21 + 7X2 + -34x + 2xX2 + -8x2 = 21 + 34x + 8x2 + -21 + -34x + -8x2

Reorder the terms:
-21 + 7X2 + -34x + 2xX2 + -8x2 = 21 + -21 + 34x + -34x + 8x2 + -8x2

Combine like terms: 21 + -21 = 0
-21 + 7X2 + -34x + 2xX2 + -8x2 = 0 + 34x + -34x + 8x2 + -8x2
-21 + 7X2 + -34x + 2xX2 + -8x2 = 34x + -34x + 8x2 + -8x2

Combine like terms: 34x + -34x = 0
-21 + 7X2 + -34x + 2xX2 + -8x2 = 0 + 8x2 + -8x2
-21 + 7X2 + -34x + 2xX2 + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-21 + 7X2 + -34x + 2xX2 + -8x2 = 0

The solution to this equation could not be determined.

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