X^2+6x-78=3(x-8)

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Solution for X^2+6x-78=3(x-8) equation:


Simplifying
X2 + 6x + -78 = 3(x + -8)

Reorder the terms:
-78 + X2 + 6x = 3(x + -8)

Reorder the terms:
-78 + X2 + 6x = 3(-8 + x)
-78 + X2 + 6x = (-8 * 3 + x * 3)
-78 + X2 + 6x = (-24 + 3x)

Solving
-78 + X2 + 6x = -24 + 3x

Solving for variable 'X'.

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

Add '78' to each side of the equation.
-78 + X2 + 78 + 6x = -24 + 78 + 3x

Reorder the terms:
-78 + 78 + X2 + 6x = -24 + 78 + 3x

Combine like terms: -78 + 78 = 0
0 + X2 + 6x = -24 + 78 + 3x
X2 + 6x = -24 + 78 + 3x

Combine like terms: -24 + 78 = 54
X2 + 6x = 54 + 3x

Add '-6x' to each side of the equation.
X2 + 6x + -6x = 54 + 3x + -6x

Combine like terms: 6x + -6x = 0
X2 + 0 = 54 + 3x + -6x
X2 = 54 + 3x + -6x

Combine like terms: 3x + -6x = -3x
X2 = 54 + -3x

Simplifying
X2 = 54 + -3x

Reorder the terms:
-54 + X2 + 3x = 54 + -3x + -54 + 3x

Reorder the terms:
-54 + X2 + 3x = 54 + -54 + -3x + 3x

Combine like terms: 54 + -54 = 0
-54 + X2 + 3x = 0 + -3x + 3x
-54 + X2 + 3x = -3x + 3x

Combine like terms: -3x + 3x = 0
-54 + X2 + 3x = 0

The solution to this equation could not be determined.

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