x*x-53=-4

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Solution for x*x-53=-4 equation: 


Simplifying
x * x + -53 = -4

Multiply x * x
x2 + -53 = -4

Reorder the terms:
-53 + x2 = -4

Solving
-53 + x2 = -4

Solving for variable 'x'.

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

Add '53' to each side of the equation.
-53 + 53 + x2 = -4 + 53

Combine like terms: -53 + 53 = 0
0 + x2 = -4 + 53
x2 = -4 + 53

Combine like terms: -4 + 53 = 49
x2 = 49

Simplifying
x2 = 49

Take the square root of each side:
x = {-7, 7}

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