solve(x+5)(3x-9)-2x(x+5)=0

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Solution for solve(x+5)(3x-9)-2x(x+5)=0 equation: 


Simplifying
solve(x + 5)(3x + -9) + -2x(x + 5) = 0

Reorder the terms:
elosv(5 + x)(3x + -9) + -2x(x + 5) = 0

Reorder the terms:
elosv(5 + x)(-9 + 3x) + -2x(x + 5) = 0

Multiply (5 + x) * (-9 + 3x)
elosv(5(-9 + 3x) + x(-9 + 3x)) + -2x(x + 5) = 0
elosv((-9 * 5 + 3x * 5) + x(-9 + 3x)) + -2x(x + 5) = 0
elosv((-45 + 15x) + x(-9 + 3x)) + -2x(x + 5) = 0
elosv(-45 + 15x + (-9 * x + 3x * x)) + -2x(x + 5) = 0
elosv(-45 + 15x + (-9x + 3x2)) + -2x(x + 5) = 0

Combine like terms: 15x + -9x = 6x
elosv(-45 + 6x + 3x2) + -2x(x + 5) = 0
(-45 * elosv + 6x * elosv + 3x2 * elosv) + -2x(x + 5) = 0
(-45elosv + 6elosvx + 3elosvx2) + -2x(x + 5) = 0

Reorder the terms:
-45elosv + 6elosvx + 3elosvx2 + -2x(5 + x) = 0
-45elosv + 6elosvx + 3elosvx2 + (5 * -2x + x * -2x) = 0
-45elosv + 6elosvx + 3elosvx2 + (-10x + -2x2) = 0

Solving
-45elosv + 6elosvx + 3elosvx2 + -10x + -2x2 = 0

Solving for variable 'e'.

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

Add '10x' to each side of the equation.
-45elosv + 6elosvx + 3elosvx2 + -10x + 10x + -2x2 = 0 + 10x

Combine like terms: -10x + 10x = 0
-45elosv + 6elosvx + 3elosvx2 + 0 + -2x2 = 0 + 10x
-45elosv + 6elosvx + 3elosvx2 + -2x2 = 0 + 10x
Remove the zero:
-45elosv + 6elosvx + 3elosvx2 + -2x2 = 10x

Add '2x2' to each side of the equation.
-45elosv + 6elosvx + 3elosvx2 + -2x2 + 2x2 = 10x + 2x2

Combine like terms: -2x2 + 2x2 = 0
-45elosv + 6elosvx + 3elosvx2 + 0 = 10x + 2x2
-45elosv + 6elosvx + 3elosvx2 = 10x + 2x2

Reorder the terms:
-45elosv + 6elosvx + 3elosvx2 + -10x + -2x2 = 10x + -10x + 2x2 + -2x2

Combine like terms: 10x + -10x = 0
-45elosv + 6elosvx + 3elosvx2 + -10x + -2x2 = 0 + 2x2 + -2x2
-45elosv + 6elosvx + 3elosvx2 + -10x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-45elosv + 6elosvx + 3elosvx2 + -10x + -2x2 = 0

The solution to this equation could not be determined.

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