(x+5)(x+2)=x^2+Yx+10

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Solution for (x+5)(x+2)=x^2+Yx+10 equation: 


Simplifying
(x + 5)(x + 2) = x2 + Yx + 10

Reorder the terms:
(5 + x)(x + 2) = x2 + Yx + 10

Reorder the terms:
(5 + x)(2 + x) = x2 + Yx + 10

Multiply (5 + x) * (2 + x)
(5(2 + x) + x(2 + x)) = x2 + Yx + 10
((2 * 5 + x * 5) + x(2 + x)) = x2 + Yx + 10
((10 + 5x) + x(2 + x)) = x2 + Yx + 10
(10 + 5x + (2 * x + x * x)) = x2 + Yx + 10
(10 + 5x + (2x + x2)) = x2 + Yx + 10

Combine like terms: 5x + 2x = 7x
(10 + 7x + x2) = x2 + Yx + 10

Reorder the terms:
10 + 7x + x2 = 10 + xY + x2

Add '-10' to each side of the equation.
10 + 7x + -10 + x2 = 10 + xY + -10 + x2

Reorder the terms:
10 + -10 + 7x + x2 = 10 + xY + -10 + x2

Combine like terms: 10 + -10 = 0
0 + 7x + x2 = 10 + xY + -10 + x2
7x + x2 = 10 + xY + -10 + x2

Reorder the terms:
7x + x2 = 10 + -10 + xY + x2

Combine like terms: 10 + -10 = 0
7x + x2 = 0 + xY + x2
7x + x2 = xY + x2

Add '-1x2' to each side of the equation.
7x + x2 + -1x2 = xY + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
7x + 0 = xY + x2 + -1x2
7x = xY + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
7x = xY + 0
7x = xY

Solving
7x = xY

Solving for variable 'x'.

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

Add '-1xY' to each side of the equation.
7x + -1xY = xY + -1xY

Combine like terms: xY + -1xY = 0
7x + -1xY = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(7 + -1Y) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(7 + -1Y)' equal to zero and attempt to solve:

Simplifying
7 + -1Y = 0

Solving
7 + -1Y = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1Y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1Y = 0 + -7
-1Y = 0 + -7

Combine like terms: 0 + -7 = -7
-1Y = -7

Add 'Y' to each side of the equation.
-1Y + Y = -7 + Y

Combine like terms: -1Y + Y = 0
0 = -7 + Y

Simplifying
0 = -7 + Y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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