X^2+3x+80=x^2-5x+400

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Solution for X^2+3x+80=x^2-5x+400 equation:


Simplifying
X2 + 3x + 80 = x2 + -5x + 400

Reorder the terms:
80 + X2 + 3x = x2 + -5x + 400

Reorder the terms:
80 + X2 + 3x = 400 + -5x + x2

Solving
80 + X2 + 3x = 400 + -5x + x2

Solving for variable 'X'.

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

Add '-80' to each side of the equation.
80 + X2 + -80 + 3x = 400 + -5x + -80 + x2

Reorder the terms:
80 + -80 + X2 + 3x = 400 + -5x + -80 + x2

Combine like terms: 80 + -80 = 0
0 + X2 + 3x = 400 + -5x + -80 + x2
X2 + 3x = 400 + -5x + -80 + x2

Reorder the terms:
X2 + 3x = 400 + -80 + -5x + x2

Combine like terms: 400 + -80 = 320
X2 + 3x = 320 + -5x + x2

Add '-3x' to each side of the equation.
X2 + 3x + -3x = 320 + -5x + -3x + x2

Combine like terms: 3x + -3x = 0
X2 + 0 = 320 + -5x + -3x + x2
X2 = 320 + -5x + -3x + x2

Combine like terms: -5x + -3x = -8x
X2 = 320 + -8x + x2

Simplifying
X2 = 320 + -8x + x2

Reorder the terms:
-320 + X2 + 8x + -1x2 = 320 + -8x + x2 + -320 + 8x + -1x2

Reorder the terms:
-320 + X2 + 8x + -1x2 = 320 + -320 + -8x + 8x + x2 + -1x2

Combine like terms: 320 + -320 = 0
-320 + X2 + 8x + -1x2 = 0 + -8x + 8x + x2 + -1x2
-320 + X2 + 8x + -1x2 = -8x + 8x + x2 + -1x2

Combine like terms: -8x + 8x = 0
-320 + X2 + 8x + -1x2 = 0 + x2 + -1x2
-320 + X2 + 8x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-320 + X2 + 8x + -1x2 = 0

The solution to this equation could not be determined.

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