X^2+5x-12=3(x-3)

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Solution for X^2+5x-12=3(x-3) equation:


Simplifying
X2 + 5x + -12 = 3(x + -3)

Reorder the terms:
-12 + X2 + 5x = 3(x + -3)

Reorder the terms:
-12 + X2 + 5x = 3(-3 + x)
-12 + X2 + 5x = (-3 * 3 + x * 3)
-12 + X2 + 5x = (-9 + 3x)

Solving
-12 + X2 + 5x = -9 + 3x

Solving for variable 'X'.

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

Add '12' to each side of the equation.
-12 + X2 + 12 + 5x = -9 + 12 + 3x

Reorder the terms:
-12 + 12 + X2 + 5x = -9 + 12 + 3x

Combine like terms: -12 + 12 = 0
0 + X2 + 5x = -9 + 12 + 3x
X2 + 5x = -9 + 12 + 3x

Combine like terms: -9 + 12 = 3
X2 + 5x = 3 + 3x

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

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

Combine like terms: 3x + -5x = -2x
X2 = 3 + -2x

Simplifying
X2 = 3 + -2x

Reorder the terms:
-3 + X2 + 2x = 3 + -2x + -3 + 2x

Reorder the terms:
-3 + X2 + 2x = 3 + -3 + -2x + 2x

Combine like terms: 3 + -3 = 0
-3 + X2 + 2x = 0 + -2x + 2x
-3 + X2 + 2x = -2x + 2x

Combine like terms: -2x + 2x = 0
-3 + X2 + 2x = 0

The solution to this equation could not be determined.

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