y^2-10y+21=(y-3)(y-7)

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Solution for y^2-10y+21=(y-3)(y-7) equation: 


Simplifying
y2 + -10y + 21 = (y + -3)(y + -7)

Reorder the terms:
21 + -10y + y2 = (y + -3)(y + -7)

Reorder the terms:
21 + -10y + y2 = (-3 + y)(y + -7)

Reorder the terms:
21 + -10y + y2 = (-3 + y)(-7 + y)

Multiply (-3 + y) * (-7 + y)
21 + -10y + y2 = (-3(-7 + y) + y(-7 + y))
21 + -10y + y2 = ((-7 * -3 + y * -3) + y(-7 + y))
21 + -10y + y2 = ((21 + -3y) + y(-7 + y))
21 + -10y + y2 = (21 + -3y + (-7 * y + y * y))
21 + -10y + y2 = (21 + -3y + (-7y + y2))

Combine like terms: -3y + -7y = -10y
21 + -10y + y2 = (21 + -10y + y2)

Add '-21' to each side of the equation.
21 + -10y + -21 + y2 = 21 + -10y + -21 + y2

Reorder the terms:
21 + -21 + -10y + y2 = 21 + -10y + -21 + y2

Combine like terms: 21 + -21 = 0
0 + -10y + y2 = 21 + -10y + -21 + y2
-10y + y2 = 21 + -10y + -21 + y2

Reorder the terms:
-10y + y2 = 21 + -21 + -10y + y2

Combine like terms: 21 + -21 = 0
-10y + y2 = 0 + -10y + y2
-10y + y2 = -10y + y2

Add '10y' to each side of the equation.
-10y + 10y + y2 = -10y + 10y + y2

Combine like terms: -10y + 10y = 0
0 + y2 = -10y + 10y + y2
y2 = -10y + 10y + y2

Combine like terms: -10y + 10y = 0
y2 = 0 + y2
y2 = y2

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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