X^2+Kx-10=(x+a)(x+b)

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Solution for X^2+Kx-10=(x+a)(x+b) equation: 


Simplifying
X2 + Kx + -10 = (x + a)(x + b)

Reorder the terms:
-10 + X2 + xK = (x + a)(x + b)

Reorder the terms:
-10 + X2 + xK = (a + x)(x + b)

Reorder the terms:
-10 + X2 + xK = (a + x)(b + x)

Multiply (a + x) * (b + x)
-10 + X2 + xK = (a(b + x) + x(b + x))
-10 + X2 + xK = ((b * a + x * a) + x(b + x))
-10 + X2 + xK = ((ab + ax) + x(b + x))
-10 + X2 + xK = (ab + ax + (b * x + x * x))
-10 + X2 + xK = (ab + ax + (bx + x2))
-10 + X2 + xK = (ab + ax + bx + x2)

Solving
-10 + X2 + xK = ab + ax + bx + x2

Solving for variable 'X'.

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

Add '10' to each side of the equation.
-10 + X2 + 10 + xK = ab + ax + bx + 10 + x2

Reorder the terms:
-10 + 10 + X2 + xK = ab + ax + bx + 10 + x2

Combine like terms: -10 + 10 = 0
0 + X2 + xK = ab + ax + bx + 10 + x2
X2 + xK = ab + ax + bx + 10 + x2

Reorder the terms:
X2 + xK = 10 + ab + ax + bx + x2

Add '-1xK' to each side of the equation.
X2 + xK + -1xK = 10 + ab + ax + bx + -1xK + x2

Combine like terms: xK + -1xK = 0
X2 + 0 = 10 + ab + ax + bx + -1xK + x2
X2 = 10 + ab + ax + bx + -1xK + x2

Simplifying
X2 = 10 + ab + ax + bx + -1xK + x2

Reorder the terms:
-10 + X2 + -1ab + -1ax + -1bx + xK + -1x2 = 10 + ab + ax + bx + -1xK + x2 + -10 + -1ab + -1ax + -1bx + xK + -1x2

Reorder the terms:
-10 + X2 + -1ab + -1ax + -1bx + xK + -1x2 = 10 + -10 + ab + -1ab + ax + -1ax + bx + -1bx + -1xK + xK + x2 + -1x2

Combine like terms: 10 + -10 = 0
-10 + X2 + -1ab + -1ax + -1bx + xK + -1x2 = 0 + ab + -1ab + ax + -1ax + bx + -1bx + -1xK + xK + x2 + -1x2
-10 + X2 + -1ab + -1ax + -1bx + xK + -1x2 = ab + -1ab + ax + -1ax + bx + -1bx + -1xK + xK + x2 + -1x2

Combine like terms: ab + -1ab = 0
-10 + X2 + -1ab + -1ax + -1bx + xK + -1x2 = 0 + ax + -1ax + bx + -1bx + -1xK + xK + x2 + -1x2
-10 + X2 + -1ab + -1ax + -1bx + xK + -1x2 = ax + -1ax + bx + -1bx + -1xK + xK + x2 + -1x2

Combine like terms: ax + -1ax = 0
-10 + X2 + -1ab + -1ax + -1bx + xK + -1x2 = 0 + bx + -1bx + -1xK + xK + x2 + -1x2
-10 + X2 + -1ab + -1ax + -1bx + xK + -1x2 = bx + -1bx + -1xK + xK + x2 + -1x2

Combine like terms: bx + -1bx = 0
-10 + X2 + -1ab + -1ax + -1bx + xK + -1x2 = 0 + -1xK + xK + x2 + -1x2
-10 + X2 + -1ab + -1ax + -1bx + xK + -1x2 = -1xK + xK + x2 + -1x2

Combine like terms: -1xK + xK = 0
-10 + X2 + -1ab + -1ax + -1bx + xK + -1x2 = 0 + x2 + -1x2
-10 + X2 + -1ab + -1ax + -1bx + xK + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-10 + X2 + -1ab + -1ax + -1bx + xK + -1x2 = 0

The solution to this equation could not be determined.

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