(2y^2-5y+4)-(3y^2-5y+8)=

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Solution for (2y^2-5y+4)-(3y^2-5y+8)= equation:


Simplifying
(2y2 + -5y + 4) + -1(3y2 + -5y + 8) = 0

Reorder the terms:
(4 + -5y + 2y2) + -1(3y2 + -5y + 8) = 0

Remove parenthesis around (4 + -5y + 2y2)
4 + -5y + 2y2 + -1(3y2 + -5y + 8) = 0

Reorder the terms:
4 + -5y + 2y2 + -1(8 + -5y + 3y2) = 0
4 + -5y + 2y2 + (8 * -1 + -5y * -1 + 3y2 * -1) = 0
4 + -5y + 2y2 + (-8 + 5y + -3y2) = 0

Reorder the terms:
4 + -8 + -5y + 5y + 2y2 + -3y2 = 0

Combine like terms: 4 + -8 = -4
-4 + -5y + 5y + 2y2 + -3y2 = 0

Combine like terms: -5y + 5y = 0
-4 + 0 + 2y2 + -3y2 = 0
-4 + 2y2 + -3y2 = 0

Combine like terms: 2y2 + -3y2 = -1y2
-4 + -1y2 = 0

Solving
-4 + -1y2 = 0

Solving for variable 'y'.

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

Add '4' to each side of the equation.
-4 + 4 + -1y2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1y2 = 0 + 4
-1y2 = 0 + 4

Combine like terms: 0 + 4 = 4
-1y2 = 4

Divide each side by '-1'.
y2 = -4

Simplifying
y2 = -4

Reorder the terms:
4 + y2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + y2 = 0

The solution to this equation could not be determined.

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