(r+d)(y-5)+(r+d)(y+6)=

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Solution for (r+d)(y-5)+(r+d)(y+6)= equation:


Simplifying
(r + d)(y + -5) + (r + d)(y + 6) = 0

Reorder the terms:
(d + r)(y + -5) + (r + d)(y + 6) = 0

Reorder the terms:
(d + r)(-5 + y) + (r + d)(y + 6) = 0

Multiply (d + r) * (-5 + y)
(d(-5 + y) + r(-5 + y)) + (r + d)(y + 6) = 0
((-5 * d + y * d) + r(-5 + y)) + (r + d)(y + 6) = 0
((-5d + dy) + r(-5 + y)) + (r + d)(y + 6) = 0
(-5d + dy + (-5 * r + y * r)) + (r + d)(y + 6) = 0
(-5d + dy + (-5r + ry)) + (r + d)(y + 6) = 0
(-5d + dy + -5r + ry) + (r + d)(y + 6) = 0

Reorder the terms:
-5d + dy + -5r + ry + (d + r)(y + 6) = 0

Reorder the terms:
-5d + dy + -5r + ry + (d + r)(6 + y) = 0

Multiply (d + r) * (6 + y)
-5d + dy + -5r + ry + (d(6 + y) + r(6 + y)) = 0
-5d + dy + -5r + ry + ((6 * d + y * d) + r(6 + y)) = 0
-5d + dy + -5r + ry + ((6d + dy) + r(6 + y)) = 0
-5d + dy + -5r + ry + (6d + dy + (6 * r + y * r)) = 0
-5d + dy + -5r + ry + (6d + dy + (6r + ry)) = 0
-5d + dy + -5r + ry + (6d + dy + 6r + ry) = 0

Reorder the terms:
-5d + 6d + dy + dy + -5r + 6r + ry + ry = 0

Combine like terms: -5d + 6d = 1d
1d + dy + dy + -5r + 6r + ry + ry = 0

Combine like terms: dy + dy = 2dy
1d + 2dy + -5r + 6r + ry + ry = 0

Combine like terms: -5r + 6r = 1r
1d + 2dy + 1r + ry + ry = 0

Combine like terms: ry + ry = 2ry
1d + 2dy + 1r + 2ry = 0

Solving
1d + 2dy + 1r + 2ry = 0

Solving for variable 'd'.

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

Add '-1r' to each side of the equation.
1d + 2dy + 1r + -1r + 2ry = 0 + -1r

Combine like terms: 1r + -1r = 0
1d + 2dy + 0 + 2ry = 0 + -1r
1d + 2dy + 2ry = 0 + -1r
Remove the zero:
1d + 2dy + 2ry = -1r

Add '-2ry' to each side of the equation.
1d + 2dy + 2ry + -2ry = -1r + -2ry

Combine like terms: 2ry + -2ry = 0
1d + 2dy + 0 = -1r + -2ry
1d + 2dy = -1r + -2ry

Reorder the terms:
1d + 2dy + r + 2ry = -1r + r + -2ry + 2ry

Combine like terms: -1r + r = 0
1d + 2dy + r + 2ry = 0 + -2ry + 2ry
1d + 2dy + r + 2ry = -2ry + 2ry

Combine like terms: -2ry + 2ry = 0
1d + 2dy + r + 2ry = 0

The solution to this equation could not be determined.

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