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Simplifying
12 + -15y * 3 * 4y = 10
Reorder the terms for easier multiplication:
12 + -15 * 3 * 4y * y = 10
Multiply -15 * 3
12 + -45 * 4y * y = 10
Multiply -45 * 4
12 + -180y * y = 10
Multiply y * y
12 + -180y2 = 10
Solving
12 + -180y2 = 10
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-12' to each side of the equation.
12 + -12 + -180y2 = 10 + -12
Combine like terms: 12 + -12 = 0
0 + -180y2 = 10 + -12
-180y2 = 10 + -12
Combine like terms: 10 + -12 = -2
-180y2 = -2
Divide each side by '-180'.
y2 = 0.01111111111
Simplifying
y2 = 0.01111111111
Take the square root of each side:
y = {-0.105409255, 0.105409255}
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