x(x-3)-5=7-3x

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Solution for x(x-3)-5=7-3x equation: 


Simplifying
x(x + -3) + -5 = 7 + -3x

Reorder the terms:
x(-3 + x) + -5 = 7 + -3x
(-3 * x + x * x) + -5 = 7 + -3x
(-3x + x2) + -5 = 7 + -3x

Reorder the terms:
-5 + -3x + x2 = 7 + -3x

Add '3x' to each side of the equation.
-5 + -3x + 3x + x2 = 7 + -3x + 3x

Combine like terms: -3x + 3x = 0
-5 + 0 + x2 = 7 + -3x + 3x
-5 + x2 = 7 + -3x + 3x

Combine like terms: -3x + 3x = 0
-5 + x2 = 7 + 0
-5 + x2 = 7

Solving
-5 + x2 = 7

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + x2 = 7 + 5

Combine like terms: -5 + 5 = 0
0 + x2 = 7 + 5
x2 = 7 + 5

Combine like terms: 7 + 5 = 12
x2 = 12

Simplifying
x2 = 12

Take the square root of each side:
x = {-3.464101615, 3.464101615}

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