(X^2+7x-6)(7x^2+4x-7)=

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Solution for (X^2+7x-6)(7x^2+4x-7)= equation: 


Simplifying
(X2 + 7x + -6)(7x2 + 4x + -7) = 0

Reorder the terms:
(-6 + X2 + 7x)(7x2 + 4x + -7) = 0

Reorder the terms:
(-6 + X2 + 7x)(-7 + 4x + 7x2) = 0

Multiply (-6 + X2 + 7x) * (-7 + 4x + 7x2)
(-6(-7 + 4x + 7x2) + X2(-7 + 4x + 7x2) + 7x * (-7 + 4x + 7x2)) = 0
((-7 * -6 + 4x * -6 + 7x2 * -6) + X2(-7 + 4x + 7x2) + 7x * (-7 + 4x + 7x2)) = 0
((42 + -24x + -42x2) + X2(-7 + 4x + 7x2) + 7x * (-7 + 4x + 7x2)) = 0
(42 + -24x + -42x2 + (-7 * X2 + 4x * X2 + 7x2 * X2) + 7x * (-7 + 4x + 7x2)) = 0
(42 + -24x + -42x2 + (-7X2 + 4xX2 + 7x2X2) + 7x * (-7 + 4x + 7x2)) = 0
(42 + -24x + -42x2 + -7X2 + 4xX2 + 7x2X2 + (-7 * 7x + 4x * 7x + 7x2 * 7x)) = 0
(42 + -24x + -42x2 + -7X2 + 4xX2 + 7x2X2 + (-49x + 28x2 + 49x3)) = 0

Reorder the terms:
(42 + -7X2 + -24x + -49x + 4xX2 + -42x2 + 28x2 + 7x2X2 + 49x3) = 0

Combine like terms: -24x + -49x = -73x
(42 + -7X2 + -73x + 4xX2 + -42x2 + 28x2 + 7x2X2 + 49x3) = 0

Combine like terms: -42x2 + 28x2 = -14x2
(42 + -7X2 + -73x + 4xX2 + -14x2 + 7x2X2 + 49x3) = 0

Solving
42 + -7X2 + -73x + 4xX2 + -14x2 + 7x2X2 + 49x3 = 0

Solving for variable 'X'.

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

Add '-42' to each side of the equation.
42 + -7X2 + -73x + 4xX2 + -14x2 + 7x2X2 + -42 + 49x3 = 0 + -42

Reorder the terms:
42 + -42 + -7X2 + -73x + 4xX2 + -14x2 + 7x2X2 + 49x3 = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -7X2 + -73x + 4xX2 + -14x2 + 7x2X2 + 49x3 = 0 + -42
-7X2 + -73x + 4xX2 + -14x2 + 7x2X2 + 49x3 = 0 + -42

Combine like terms: 0 + -42 = -42
-7X2 + -73x + 4xX2 + -14x2 + 7x2X2 + 49x3 = -42

Add '73x' to each side of the equation.
-7X2 + -73x + 4xX2 + -14x2 + 7x2X2 + 73x + 49x3 = -42 + 73x

Reorder the terms:
-7X2 + -73x + 73x + 4xX2 + -14x2 + 7x2X2 + 49x3 = -42 + 73x

Combine like terms: -73x + 73x = 0
-7X2 + 0 + 4xX2 + -14x2 + 7x2X2 + 49x3 = -42 + 73x
-7X2 + 4xX2 + -14x2 + 7x2X2 + 49x3 = -42 + 73x

Add '14x2' to each side of the equation.
-7X2 + 4xX2 + -14x2 + 7x2X2 + 14x2 + 49x3 = -42 + 73x + 14x2

Reorder the terms:
-7X2 + 4xX2 + -14x2 + 14x2 + 7x2X2 + 49x3 = -42 + 73x + 14x2

Combine like terms: -14x2 + 14x2 = 0
-7X2 + 4xX2 + 0 + 7x2X2 + 49x3 = -42 + 73x + 14x2
-7X2 + 4xX2 + 7x2X2 + 49x3 = -42 + 73x + 14x2

Add '-49x3' to each side of the equation.
-7X2 + 4xX2 + 7x2X2 + 49x3 + -49x3 = -42 + 73x + 14x2 + -49x3

Combine like terms: 49x3 + -49x3 = 0
-7X2 + 4xX2 + 7x2X2 + 0 = -42 + 73x + 14x2 + -49x3
-7X2 + 4xX2 + 7x2X2 = -42 + 73x + 14x2 + -49x3

Reorder the terms:
42 + -7X2 + -73x + 4xX2 + -14x2 + 7x2X2 + 49x3 = -42 + 73x + 14x2 + -49x3 + 42 + -73x + -14x2 + 49x3

Reorder the terms:
42 + -7X2 + -73x + 4xX2 + -14x2 + 7x2X2 + 49x3 = -42 + 42 + 73x + -73x + 14x2 + -14x2 + -49x3 + 49x3

Combine like terms: -42 + 42 = 0
42 + -7X2 + -73x + 4xX2 + -14x2 + 7x2X2 + 49x3 = 0 + 73x + -73x + 14x2 + -14x2 + -49x3 + 49x3
42 + -7X2 + -73x + 4xX2 + -14x2 + 7x2X2 + 49x3 = 73x + -73x + 14x2 + -14x2 + -49x3 + 49x3

Combine like terms: 73x + -73x = 0
42 + -7X2 + -73x + 4xX2 + -14x2 + 7x2X2 + 49x3 = 0 + 14x2 + -14x2 + -49x3 + 49x3
42 + -7X2 + -73x + 4xX2 + -14x2 + 7x2X2 + 49x3 = 14x2 + -14x2 + -49x3 + 49x3

Combine like terms: 14x2 + -14x2 = 0
42 + -7X2 + -73x + 4xX2 + -14x2 + 7x2X2 + 49x3 = 0 + -49x3 + 49x3
42 + -7X2 + -73x + 4xX2 + -14x2 + 7x2X2 + 49x3 = -49x3 + 49x3

Combine like terms: -49x3 + 49x3 = 0
42 + -7X2 + -73x + 4xX2 + -14x2 + 7x2X2 + 49x3 = 0

The solution to this equation could not be determined.

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