8X^2+13x-28=2x^2-x

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Solution for 8X^2+13x-28=2x^2-x equation: 


Simplifying
8X2 + 13x + -28 = 2x2 + -1x

Reorder the terms:
-28 + 8X2 + 13x = 2x2 + -1x

Reorder the terms:
-28 + 8X2 + 13x = -1x + 2x2

Solving
-28 + 8X2 + 13x = -1x + 2x2

Solving for variable 'X'.

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

Add '28' to each side of the equation.
-28 + 8X2 + 28 + 13x = -1x + 28 + 2x2

Reorder the terms:
-28 + 28 + 8X2 + 13x = -1x + 28 + 2x2

Combine like terms: -28 + 28 = 0
0 + 8X2 + 13x = -1x + 28 + 2x2
8X2 + 13x = -1x + 28 + 2x2

Reorder the terms:
8X2 + 13x = 28 + -1x + 2x2

Add '-13x' to each side of the equation.
8X2 + 13x + -13x = 28 + -1x + -13x + 2x2

Combine like terms: 13x + -13x = 0
8X2 + 0 = 28 + -1x + -13x + 2x2
8X2 = 28 + -1x + -13x + 2x2

Combine like terms: -1x + -13x = -14x
8X2 = 28 + -14x + 2x2

Divide each side by '8'.
X2 = 3.5 + -1.75x + 0.25x2

Simplifying
X2 = 3.5 + -1.75x + 0.25x2

Reorder the terms:
-3.5 + X2 + 1.75x + -0.25x2 = 3.5 + -1.75x + 0.25x2 + -3.5 + 1.75x + -0.25x2

Reorder the terms:
-3.5 + X2 + 1.75x + -0.25x2 = 3.5 + -3.5 + -1.75x + 1.75x + 0.25x2 + -0.25x2

Combine like terms: 3.5 + -3.5 = 0.0
-3.5 + X2 + 1.75x + -0.25x2 = 0.0 + -1.75x + 1.75x + 0.25x2 + -0.25x2
-3.5 + X2 + 1.75x + -0.25x2 = -1.75x + 1.75x + 0.25x2 + -0.25x2

Combine like terms: -1.75x + 1.75x = 0.00
-3.5 + X2 + 1.75x + -0.25x2 = 0.00 + 0.25x2 + -0.25x2
-3.5 + X2 + 1.75x + -0.25x2 = 0.25x2 + -0.25x2

Combine like terms: 0.25x2 + -0.25x2 = 0.00
-3.5 + X2 + 1.75x + -0.25x2 = 0.00

The solution to this equation could not be determined.

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