38=x^2+19

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Solution for 38=x^2+19 equation:


Simplifying
38 = x2 + 19

Reorder the terms:
38 = 19 + x2

Solving
38 = 19 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
38 + -1x2 = 19 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
38 + -1x2 = 19 + 0
38 + -1x2 = 19

Add '-38' to each side of the equation.
38 + -38 + -1x2 = 19 + -38

Combine like terms: 38 + -38 = 0
0 + -1x2 = 19 + -38
-1x2 = 19 + -38

Combine like terms: 19 + -38 = -19
-1x2 = -19

Divide each side by '-1'.
x2 = 19

Simplifying
x2 = 19

Take the square root of each side:
x = {-4.358898944, 4.358898944}

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