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Simplifying
3y * 3y = 12y * 12y + -144
Reorder the terms for easier multiplication:
3 * 3y * y = 12y * 12y + -144
Multiply 3 * 3
9y * y = 12y * 12y + -144
Multiply y * y
9y2 = 12y * 12y + -144
Reorder the terms for easier multiplication:
9y2 = 12 * 12y * y + -144
Multiply 12 * 12
9y2 = 144y * y + -144
Multiply y * y
9y2 = 144y2 + -144
Reorder the terms:
9y2 = -144 + 144y2
Solving
9y2 = -144 + 144y2
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-144y2' to each side of the equation.
9y2 + -144y2 = -144 + 144y2 + -144y2
Combine like terms: 9y2 + -144y2 = -135y2
-135y2 = -144 + 144y2 + -144y2
Combine like terms: 144y2 + -144y2 = 0
-135y2 = -144 + 0
-135y2 = -144
Divide each side by '-135'.
y2 = 1.066666667
Simplifying
y2 = 1.066666667
Take the square root of each side:
y = {-1.032795559, 1.032795559}
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