(X^2+3x-4)-(2x+1)=x^2-14

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Solution for (X^2+3x-4)-(2x+1)=x^2-14 equation:


Simplifying
(X2 + 3x + -4) + -1(2x + 1) = x2 + -14

Reorder the terms:
(-4 + X2 + 3x) + -1(2x + 1) = x2 + -14

Remove parenthesis around (-4 + X2 + 3x)
-4 + X2 + 3x + -1(2x + 1) = x2 + -14

Reorder the terms:
-4 + X2 + 3x + -1(1 + 2x) = x2 + -14
-4 + X2 + 3x + (1 * -1 + 2x * -1) = x2 + -14
-4 + X2 + 3x + (-1 + -2x) = x2 + -14

Reorder the terms:
-4 + -1 + X2 + 3x + -2x = x2 + -14

Combine like terms: -4 + -1 = -5
-5 + X2 + 3x + -2x = x2 + -14

Combine like terms: 3x + -2x = 1x
-5 + X2 + 1x = x2 + -14

Reorder the terms:
-5 + X2 + 1x = -14 + x2

Solving
-5 + X2 + 1x = -14 + x2

Solving for variable 'X'.

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

Add '5' to each side of the equation.
-5 + X2 + 5 + 1x = -14 + 5 + x2

Reorder the terms:
-5 + 5 + X2 + 1x = -14 + 5 + x2

Combine like terms: -5 + 5 = 0
0 + X2 + 1x = -14 + 5 + x2
X2 + 1x = -14 + 5 + x2

Combine like terms: -14 + 5 = -9
X2 + 1x = -9 + x2

Add '-1x' to each side of the equation.
X2 + 1x + -1x = -9 + -1x + x2

Combine like terms: 1x + -1x = 0
X2 + 0 = -9 + -1x + x2
X2 = -9 + -1x + x2

Simplifying
X2 = -9 + -1x + x2

Reorder the terms:
9 + X2 + x + -1x2 = -9 + -1x + x2 + 9 + x + -1x2

Reorder the terms:
9 + X2 + x + -1x2 = -9 + 9 + -1x + x + x2 + -1x2

Combine like terms: -9 + 9 = 0
9 + X2 + x + -1x2 = 0 + -1x + x + x2 + -1x2
9 + X2 + x + -1x2 = -1x + x + x2 + -1x2

Combine like terms: -1x + x = 0
9 + X2 + x + -1x2 = 0 + x2 + -1x2
9 + X2 + x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
9 + X2 + x + -1x2 = 0

The solution to this equation could not be determined.

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