(X^2+7x-5)-(3x^2+1)=

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Solution for (X^2+7x-5)-(3x^2+1)= equation:


Simplifying
(X2 + 7x + -5) + -1(3x2 + 1) = 0

Reorder the terms:
(-5 + X2 + 7x) + -1(3x2 + 1) = 0

Remove parenthesis around (-5 + X2 + 7x)
-5 + X2 + 7x + -1(3x2 + 1) = 0

Reorder the terms:
-5 + X2 + 7x + -1(1 + 3x2) = 0
-5 + X2 + 7x + (1 * -1 + 3x2 * -1) = 0
-5 + X2 + 7x + (-1 + -3x2) = 0

Reorder the terms:
-5 + -1 + X2 + 7x + -3x2 = 0

Combine like terms: -5 + -1 = -6
-6 + X2 + 7x + -3x2 = 0

Solving
-6 + X2 + 7x + -3x2 = 0

Solving for variable 'X'.

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

Add '6' to each side of the equation.
-6 + X2 + 7x + 6 + -3x2 = 0 + 6

Reorder the terms:
-6 + 6 + X2 + 7x + -3x2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + X2 + 7x + -3x2 = 0 + 6
X2 + 7x + -3x2 = 0 + 6

Combine like terms: 0 + 6 = 6
X2 + 7x + -3x2 = 6

Add '-7x' to each side of the equation.
X2 + 7x + -7x + -3x2 = 6 + -7x

Combine like terms: 7x + -7x = 0
X2 + 0 + -3x2 = 6 + -7x
X2 + -3x2 = 6 + -7x

Add '3x2' to each side of the equation.
X2 + -3x2 + 3x2 = 6 + -7x + 3x2

Combine like terms: -3x2 + 3x2 = 0
X2 + 0 = 6 + -7x + 3x2
X2 = 6 + -7x + 3x2

Simplifying
X2 = 6 + -7x + 3x2

Reorder the terms:
-6 + X2 + 7x + -3x2 = 6 + -7x + 3x2 + -6 + 7x + -3x2

Reorder the terms:
-6 + X2 + 7x + -3x2 = 6 + -6 + -7x + 7x + 3x2 + -3x2

Combine like terms: 6 + -6 = 0
-6 + X2 + 7x + -3x2 = 0 + -7x + 7x + 3x2 + -3x2
-6 + X2 + 7x + -3x2 = -7x + 7x + 3x2 + -3x2

Combine like terms: -7x + 7x = 0
-6 + X2 + 7x + -3x2 = 0 + 3x2 + -3x2
-6 + X2 + 7x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-6 + X2 + 7x + -3x2 = 0

The solution to this equation could not be determined.

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