40=v^2-9

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Solution for 40=v^2-9 equation:


Simplifying
40 = v2 + -9

Reorder the terms:
40 = -9 + v2

Solving
40 = -9 + v2

Solving for variable 'v'.

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

Add '-1v2' to each side of the equation.
40 + -1v2 = -9 + v2 + -1v2

Combine like terms: v2 + -1v2 = 0
40 + -1v2 = -9 + 0
40 + -1v2 = -9

Add '-40' to each side of the equation.
40 + -40 + -1v2 = -9 + -40

Combine like terms: 40 + -40 = 0
0 + -1v2 = -9 + -40
-1v2 = -9 + -40

Combine like terms: -9 + -40 = -49
-1v2 = -49

Divide each side by '-1'.
v2 = 49

Simplifying
v2 = 49

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

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