2y(5y)-23=89

Solution for 2y(5y)-23=89 equation:

Simplifying
2y(5y) + -23 = 89

Remove parenthesis around (5y)
2y * 5y + -23 = 89

Reorder the terms for easier multiplication:
2 * 5y * y + -23 = 89

Multiply 2 * 5
10y * y + -23 = 89

Multiply y * y
10y2 + -23 = 89

Reorder the terms:
-23 + 10y2 = 89

Solving
-23 + 10y2 = 89

Solving for variable 'y'.

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

Add '23' to each side of the equation.
-23 + 23 + 10y2 = 89 + 23

Combine like terms: -23 + 23 = 0
0 + 10y2 = 89 + 23
10y2 = 89 + 23

Combine like terms: 89 + 23 = 112
10y2 = 112

Divide each side by '10'.
y2 = 11.2

Simplifying
y2 = 11.2

Take the square root of each side:
y = {-3.346640106, 3.346640106}