2y^2+9y-2=(y+2)(y+7)

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Solution for 2y^2+9y-2=(y+2)(y+7) equation: 


Simplifying
2y2 + 9y + -2 = (y + 2)(y + 7)

Reorder the terms:
-2 + 9y + 2y2 = (y + 2)(y + 7)

Reorder the terms:
-2 + 9y + 2y2 = (2 + y)(y + 7)

Reorder the terms:
-2 + 9y + 2y2 = (2 + y)(7 + y)

Multiply (2 + y) * (7 + y)
-2 + 9y + 2y2 = (2(7 + y) + y(7 + y))
-2 + 9y + 2y2 = ((7 * 2 + y * 2) + y(7 + y))
-2 + 9y + 2y2 = ((14 + 2y) + y(7 + y))
-2 + 9y + 2y2 = (14 + 2y + (7 * y + y * y))
-2 + 9y + 2y2 = (14 + 2y + (7y + y2))

Combine like terms: 2y + 7y = 9y
-2 + 9y + 2y2 = (14 + 9y + y2)

Add '-9y' to each side of the equation.
-2 + 9y + -9y + 2y2 = 14 + 9y + -9y + y2

Combine like terms: 9y + -9y = 0
-2 + 0 + 2y2 = 14 + 9y + -9y + y2
-2 + 2y2 = 14 + 9y + -9y + y2

Combine like terms: 9y + -9y = 0
-2 + 2y2 = 14 + 0 + y2
-2 + 2y2 = 14 + y2

Solving
-2 + 2y2 = 14 + y2

Solving for variable 'y'.

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

Add '-1y2' to each side of the equation.
-2 + 2y2 + -1y2 = 14 + y2 + -1y2

Combine like terms: 2y2 + -1y2 = 1y2
-2 + 1y2 = 14 + y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-2 + 1y2 = 14 + 0
-2 + 1y2 = 14

Add '2' to each side of the equation.
-2 + 2 + 1y2 = 14 + 2

Combine like terms: -2 + 2 = 0
0 + 1y2 = 14 + 2
1y2 = 14 + 2

Combine like terms: 14 + 2 = 16
1y2 = 16

Divide each side by '1'.
y2 = 16

Simplifying
y2 = 16

Take the square root of each side:
y = {-4, 4}

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