(3y^2-5y+3)-(6y^2-5y+4)=

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Solution for (3y^2-5y+3)-(6y^2-5y+4)= equation:


Simplifying
(3y2 + -5y + 3) + -1(6y2 + -5y + 4) = 0

Reorder the terms:
(3 + -5y + 3y2) + -1(6y2 + -5y + 4) = 0

Remove parenthesis around (3 + -5y + 3y2)
3 + -5y + 3y2 + -1(6y2 + -5y + 4) = 0

Reorder the terms:
3 + -5y + 3y2 + -1(4 + -5y + 6y2) = 0
3 + -5y + 3y2 + (4 * -1 + -5y * -1 + 6y2 * -1) = 0
3 + -5y + 3y2 + (-4 + 5y + -6y2) = 0

Reorder the terms:
3 + -4 + -5y + 5y + 3y2 + -6y2 = 0

Combine like terms: 3 + -4 = -1
-1 + -5y + 5y + 3y2 + -6y2 = 0

Combine like terms: -5y + 5y = 0
-1 + 0 + 3y2 + -6y2 = 0
-1 + 3y2 + -6y2 = 0

Combine like terms: 3y2 + -6y2 = -3y2
-1 + -3y2 = 0

Solving
-1 + -3y2 = 0

Solving for variable 'y'.

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

Add '1' to each side of the equation.
-1 + 1 + -3y2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3y2 = 0 + 1
-3y2 = 0 + 1

Combine like terms: 0 + 1 = 1
-3y2 = 1

Divide each side by '-3'.
y2 = -0.3333333333

Simplifying
y2 = -0.3333333333

Reorder the terms:
0.3333333333 + y2 = -0.3333333333 + 0.3333333333

Combine like terms: -0.3333333333 + 0.3333333333 = 0.0000000000
0.3333333333 + y2 = 0.0000000000

The solution to this equation could not be determined.

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