(x+3)(sx+5)=7

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Solution for (x+3)(sx+5)=7 equation:


Simplifying
(x + 3)(sx + 5) = 7

Reorder the terms:
(3 + x)(sx + 5) = 7

Reorder the terms:
(3 + x)(5 + sx) = 7

Multiply (3 + x) * (5 + sx)
(3(5 + sx) + x(5 + sx)) = 7
((5 * 3 + sx * 3) + x(5 + sx)) = 7
((15 + 3sx) + x(5 + sx)) = 7
(15 + 3sx + (5 * x + sx * x)) = 7

Reorder the terms:
(15 + 3sx + (sx2 + 5x)) = 7
(15 + 3sx + (sx2 + 5x)) = 7
(15 + 3sx + sx2 + 5x) = 7

Solving
15 + 3sx + sx2 + 5x = 7

Solving for variable 's'.

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

Add '-15' to each side of the equation.
15 + 3sx + sx2 + -15 + 5x = 7 + -15

Reorder the terms:
15 + -15 + 3sx + sx2 + 5x = 7 + -15

Combine like terms: 15 + -15 = 0
0 + 3sx + sx2 + 5x = 7 + -15
3sx + sx2 + 5x = 7 + -15

Combine like terms: 7 + -15 = -8
3sx + sx2 + 5x = -8

Add '-5x' to each side of the equation.
3sx + sx2 + 5x + -5x = -8 + -5x

Combine like terms: 5x + -5x = 0
3sx + sx2 + 0 = -8 + -5x
3sx + sx2 = -8 + -5x

Reorder the terms:
8 + 3sx + sx2 + 5x = -8 + -5x + 8 + 5x

Reorder the terms:
8 + 3sx + sx2 + 5x = -8 + 8 + -5x + 5x

Combine like terms: -8 + 8 = 0
8 + 3sx + sx2 + 5x = 0 + -5x + 5x
8 + 3sx + sx2 + 5x = -5x + 5x

Combine like terms: -5x + 5x = 0
8 + 3sx + sx2 + 5x = 0

The solution to this equation could not be determined.

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