(x*x-5x+7)-(s-2)(x-3)=0

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Solution for (x*x-5x+7)-(s-2)(x-3)=0 equation:


Simplifying
(x * x + -5x + 7) + -1(s + -2)(x + -3) = 0

Multiply x * x
(x2 + -5x + 7) + -1(s + -2)(x + -3) = 0

Reorder the terms:
(7 + -5x + x2) + -1(s + -2)(x + -3) = 0

Remove parenthesis around (7 + -5x + x2)
7 + -5x + x2 + -1(s + -2)(x + -3) = 0

Reorder the terms:
7 + -5x + x2 + -1(-2 + s)(x + -3) = 0

Reorder the terms:
7 + -5x + x2 + -1(-2 + s)(-3 + x) = 0

Multiply (-2 + s) * (-3 + x)
7 + -5x + x2 + -1(-2(-3 + x) + s(-3 + x)) = 0
7 + -5x + x2 + -1((-3 * -2 + x * -2) + s(-3 + x)) = 0
7 + -5x + x2 + -1((6 + -2x) + s(-3 + x)) = 0
7 + -5x + x2 + -1(6 + -2x + (-3 * s + x * s)) = 0
7 + -5x + x2 + -1(6 + -2x + (-3s + sx)) = 0

Reorder the terms:
7 + -5x + x2 + -1(6 + -3s + sx + -2x) = 0
7 + -5x + x2 + -1(6 + -3s + sx + -2x) = 0
7 + -5x + x2 + (6 * -1 + -3s * -1 + sx * -1 + -2x * -1) = 0
7 + -5x + x2 + (-6 + 3s + -1sx + 2x) = 0

Reorder the terms:
7 + -6 + 3s + -1sx + -5x + 2x + x2 = 0

Combine like terms: 7 + -6 = 1
1 + 3s + -1sx + -5x + 2x + x2 = 0

Combine like terms: -5x + 2x = -3x
1 + 3s + -1sx + -3x + x2 = 0

Solving
1 + 3s + -1sx + -3x + x2 = 0

Solving for variable 's'.

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

Add '-1' to each side of the equation.
1 + 3s + -1sx + -3x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + 3s + -1sx + -3x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3s + -1sx + -3x + x2 = 0 + -1
3s + -1sx + -3x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
3s + -1sx + -3x + x2 = -1

Add '3x' to each side of the equation.
3s + -1sx + -3x + 3x + x2 = -1 + 3x

Combine like terms: -3x + 3x = 0
3s + -1sx + 0 + x2 = -1 + 3x
3s + -1sx + x2 = -1 + 3x

Add '-1x2' to each side of the equation.
3s + -1sx + x2 + -1x2 = -1 + 3x + -1x2

Combine like terms: x2 + -1x2 = 0
3s + -1sx + 0 = -1 + 3x + -1x2
3s + -1sx = -1 + 3x + -1x2

Reorder the terms:
1 + 3s + -1sx + -3x + x2 = -1 + 3x + -1x2 + 1 + -3x + x2

Reorder the terms:
1 + 3s + -1sx + -3x + x2 = -1 + 1 + 3x + -3x + -1x2 + x2

Combine like terms: -1 + 1 = 0
1 + 3s + -1sx + -3x + x2 = 0 + 3x + -3x + -1x2 + x2
1 + 3s + -1sx + -3x + x2 = 3x + -3x + -1x2 + x2

Combine like terms: 3x + -3x = 0
1 + 3s + -1sx + -3x + x2 = 0 + -1x2 + x2
1 + 3s + -1sx + -3x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
1 + 3s + -1sx + -3x + x2 = 0

The solution to this equation could not be determined.

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