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Simplifying
5y * 4y + 3 = 132
Reorder the terms for easier multiplication:
5 * 4y * y + 3 = 132
Multiply 5 * 4
20y * y + 3 = 132
Multiply y * y
20y2 + 3 = 132
Reorder the terms:
3 + 20y2 = 132
Solving
3 + 20y2 = 132
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + 20y2 = 132 + -3
Combine like terms: 3 + -3 = 0
0 + 20y2 = 132 + -3
20y2 = 132 + -3
Combine like terms: 132 + -3 = 129
20y2 = 129
Divide each side by '20'.
y2 = 6.45
Simplifying
y2 = 6.45
Take the square root of each side:
y = {-2.53968502, 2.53968502}
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