(4y^2-6y+7)-(2y^2-6y+5)=

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Solution for (4y^2-6y+7)-(2y^2-6y+5)= equation:


Simplifying
(4y2 + -6y + 7) + -1(2y2 + -6y + 5) = 0

Reorder the terms:
(7 + -6y + 4y2) + -1(2y2 + -6y + 5) = 0

Remove parenthesis around (7 + -6y + 4y2)
7 + -6y + 4y2 + -1(2y2 + -6y + 5) = 0

Reorder the terms:
7 + -6y + 4y2 + -1(5 + -6y + 2y2) = 0
7 + -6y + 4y2 + (5 * -1 + -6y * -1 + 2y2 * -1) = 0
7 + -6y + 4y2 + (-5 + 6y + -2y2) = 0

Reorder the terms:
7 + -5 + -6y + 6y + 4y2 + -2y2 = 0

Combine like terms: 7 + -5 = 2
2 + -6y + 6y + 4y2 + -2y2 = 0

Combine like terms: -6y + 6y = 0
2 + 0 + 4y2 + -2y2 = 0
2 + 4y2 + -2y2 = 0

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

Solving
2 + 2y2 = 0

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + 2y2 = 0 + -2

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

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

Divide each side by '2'.
y2 = -1

Simplifying
y2 = -1

Reorder the terms:
1 + y2 = -1 + 1

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

The solution to this equation could not be determined.

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