(2y^2-9y+1)-(4y^2-9y+5)=

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Solution for (2y^2-9y+1)-(4y^2-9y+5)= equation:


Simplifying
(2y2 + -9y + 1) + -1(4y2 + -9y + 5) = 0

Reorder the terms:
(1 + -9y + 2y2) + -1(4y2 + -9y + 5) = 0

Remove parenthesis around (1 + -9y + 2y2)
1 + -9y + 2y2 + -1(4y2 + -9y + 5) = 0

Reorder the terms:
1 + -9y + 2y2 + -1(5 + -9y + 4y2) = 0
1 + -9y + 2y2 + (5 * -1 + -9y * -1 + 4y2 * -1) = 0
1 + -9y + 2y2 + (-5 + 9y + -4y2) = 0

Reorder the terms:
1 + -5 + -9y + 9y + 2y2 + -4y2 = 0

Combine like terms: 1 + -5 = -4
-4 + -9y + 9y + 2y2 + -4y2 = 0

Combine like terms: -9y + 9y = 0
-4 + 0 + 2y2 + -4y2 = 0
-4 + 2y2 + -4y2 = 0

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

Solving
-4 + -2y2 = 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 + -2y2 = 0 + 4

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

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

Divide each side by '-2'.
y2 = -2

Simplifying
y2 = -2

Reorder the terms:
2 + y2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + y2 = 0

The solution to this equation could not be determined.

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