10(y^2-3-40)=0

Solution for 10(y^2-3-40)=0 equation:

Simplifying
10(y2 + -3 + -40) = 0

Reorder the terms:
10(-3 + -40 + y2) = 0

Combine like terms: -3 + -40 = -43
10(-43 + y2) = 0
(-43 * 10 + y2 * 10) = 0
(-430 + 10y2) = 0

Solving
-430 + 10y2 = 0

Solving for variable 'y'.

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

Add '430' to each side of the equation.
-430 + 430 + 10y2 = 0 + 430

Combine like terms: -430 + 430 = 0
0 + 10y2 = 0 + 430
10y2 = 0 + 430

Combine like terms: 0 + 430 = 430
10y2 = 430

Divide each side by '10'.
y2 = 43

Simplifying
y2 = 43

Take the square root of each side:
y = {-6.557438524, 6.557438524}