x^2-3X-7=4x+1

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Solution for x^2-3X-7=4x+1 equation: 


Simplifying
x2 + -3X + -7 = 4x + 1

Reorder the terms:
-7 + -3X + x2 = 4x + 1

Reorder the terms:
-7 + -3X + x2 = 1 + 4x

Solving
-7 + -3X + x2 = 1 + 4x

Solving for variable 'X'.

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

Add '7' to each side of the equation.
-7 + -3X + 7 + x2 = 1 + 7 + 4x

Reorder the terms:
-7 + 7 + -3X + x2 = 1 + 7 + 4x

Combine like terms: -7 + 7 = 0
0 + -3X + x2 = 1 + 7 + 4x
-3X + x2 = 1 + 7 + 4x

Combine like terms: 1 + 7 = 8
-3X + x2 = 8 + 4x

Add '-1x2' to each side of the equation.
-3X + x2 + -1x2 = 8 + 4x + -1x2

Combine like terms: x2 + -1x2 = 0
-3X + 0 = 8 + 4x + -1x2
-3X = 8 + 4x + -1x2

Divide each side by '-3'.
X = -2.666666667 + -1.333333333x + 0.3333333333x2

Simplifying
X = -2.666666667 + -1.333333333x + 0.3333333333x2

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