X^2-4x-13=5x-3

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Solution for X^2-4x-13=5x-3 equation:


Simplifying
X2 + -4x + -13 = 5x + -3

Reorder the terms:
-13 + X2 + -4x = 5x + -3

Reorder the terms:
-13 + X2 + -4x = -3 + 5x

Solving
-13 + X2 + -4x = -3 + 5x

Solving for variable 'X'.

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

Add '13' to each side of the equation.
-13 + X2 + 13 + -4x = -3 + 13 + 5x

Reorder the terms:
-13 + 13 + X2 + -4x = -3 + 13 + 5x

Combine like terms: -13 + 13 = 0
0 + X2 + -4x = -3 + 13 + 5x
X2 + -4x = -3 + 13 + 5x

Combine like terms: -3 + 13 = 10
X2 + -4x = 10 + 5x

Add '4x' to each side of the equation.
X2 + -4x + 4x = 10 + 5x + 4x

Combine like terms: -4x + 4x = 0
X2 + 0 = 10 + 5x + 4x
X2 = 10 + 5x + 4x

Combine like terms: 5x + 4x = 9x
X2 = 10 + 9x

Simplifying
X2 = 10 + 9x

Reorder the terms:
-10 + X2 + -9x = 10 + 9x + -10 + -9x

Reorder the terms:
-10 + X2 + -9x = 10 + -10 + 9x + -9x

Combine like terms: 10 + -10 = 0
-10 + X2 + -9x = 0 + 9x + -9x
-10 + X2 + -9x = 9x + -9x

Combine like terms: 9x + -9x = 0
-10 + X2 + -9x = 0

The solution to this equation could not be determined.

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