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Simplifying
(2.7 + 5y)(2.7 + -5y) = 0
Multiply (2.7 + 5y) * (2.7 + -5y)
(2.7(2.7 + -5y) + 5y * (2.7 + -5y)) = 0
((2.7 * 2.7 + -5y * 2.7) + 5y * (2.7 + -5y)) = 0
((7.29 + -13.5y) + 5y * (2.7 + -5y)) = 0
(7.29 + -13.5y + (2.7 * 5y + -5y * 5y)) = 0
(7.29 + -13.5y + (13.5y + -25y2)) = 0
Combine like terms: -13.5y + 13.5y = 0.0
(7.29 + 0.0 + -25y2) = 0
(7.29 + -25y2) = 0
Solving
7.29 + -25y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-7.29' to each side of the equation.
7.29 + -7.29 + -25y2 = 0 + -7.29
Combine like terms: 7.29 + -7.29 = 0.00
0.00 + -25y2 = 0 + -7.29
-25y2 = 0 + -7.29
Combine like terms: 0 + -7.29 = -7.29
-25y2 = -7.29
Divide each side by '-25'.
y2 = 0.2916
Simplifying
y2 = 0.2916
Take the square root of each side:
y = {-0.54, 0.54}
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