sqrt(x+3)x+sqrt(x+10)x+2sqrt(x+3)+8sqrt(x+10)=x^2+7x+2

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Solution for sqrt(x+3)x+sqrt(x+10)x+2sqrt(x+3)+8sqrt(x+10)=x^2+7x+2 equation:


Simplifying
sqrt(x + 3) * x + sqrt(x + 10) * x + 2sqrt(x + 3) + 8sqrt(x + 10) = x2 + 7x + 2

Reorder the terms:
qrst(3 + x) * x + sqrt(x + 10) * x + 2sqrt(x + 3) + 8sqrt(x + 10) = x2 + 7x + 2

Reorder the terms for easier multiplication:
qrst * x(3 + x) + sqrt(x + 10) * x + 2sqrt(x + 3) + 8sqrt(x + 10) = x2 + 7x + 2

Multiply qrst * x
qrstx(3 + x) + sqrt(x + 10) * x + 2sqrt(x + 3) + 8sqrt(x + 10) = x2 + 7x + 2
(3 * qrstx + x * qrstx) + sqrt(x + 10) * x + 2sqrt(x + 3) + 8sqrt(x + 10) = x2 + 7x + 2
(3qrstx + qrstx2) + sqrt(x + 10) * x + 2sqrt(x + 3) + 8sqrt(x + 10) = x2 + 7x + 2

Reorder the terms:
3qrstx + qrstx2 + qrst(10 + x) * x + 2sqrt(x + 3) + 8sqrt(x + 10) = x2 + 7x + 2

Reorder the terms for easier multiplication:
3qrstx + qrstx2 + qrst * x(10 + x) + 2sqrt(x + 3) + 8sqrt(x + 10) = x2 + 7x + 2

Multiply qrst * x
3qrstx + qrstx2 + qrstx(10 + x) + 2sqrt(x + 3) + 8sqrt(x + 10) = x2 + 7x + 2
3qrstx + qrstx2 + (10 * qrstx + x * qrstx) + 2sqrt(x + 3) + 8sqrt(x + 10) = x2 + 7x + 2
3qrstx + qrstx2 + (10qrstx + qrstx2) + 2sqrt(x + 3) + 8sqrt(x + 10) = x2 + 7x + 2

Reorder the terms:
3qrstx + qrstx2 + 10qrstx + qrstx2 + 2qrst(3 + x) + 8sqrt(x + 10) = x2 + 7x + 2
3qrstx + qrstx2 + 10qrstx + qrstx2 + (3 * 2qrst + x * 2qrst) + 8sqrt(x + 10) = x2 + 7x + 2
3qrstx + qrstx2 + 10qrstx + qrstx2 + (6qrst + 2qrstx) + 8sqrt(x + 10) = x2 + 7x + 2

Reorder the terms:
3qrstx + qrstx2 + 10qrstx + qrstx2 + 6qrst + 2qrstx + 8qrst(10 + x) = x2 + 7x + 2
3qrstx + qrstx2 + 10qrstx + qrstx2 + 6qrst + 2qrstx + (10 * 8qrst + x * 8qrst) = x2 + 7x + 2
3qrstx + qrstx2 + 10qrstx + qrstx2 + 6qrst + 2qrstx + (80qrst + 8qrstx) = x2 + 7x + 2

Reorder the terms:
6qrst + 80qrst + 3qrstx + 10qrstx + 2qrstx + 8qrstx + qrstx2 + qrstx2 = x2 + 7x + 2

Combine like terms: 6qrst + 80qrst = 86qrst
86qrst + 3qrstx + 10qrstx + 2qrstx + 8qrstx + qrstx2 + qrstx2 = x2 + 7x + 2

Combine like terms: 3qrstx + 10qrstx = 13qrstx
86qrst + 13qrstx + 2qrstx + 8qrstx + qrstx2 + qrstx2 = x2 + 7x + 2

Combine like terms: 13qrstx + 2qrstx = 15qrstx
86qrst + 15qrstx + 8qrstx + qrstx2 + qrstx2 = x2 + 7x + 2

Combine like terms: 15qrstx + 8qrstx = 23qrstx
86qrst + 23qrstx + qrstx2 + qrstx2 = x2 + 7x + 2

Combine like terms: qrstx2 + qrstx2 = 2qrstx2
86qrst + 23qrstx + 2qrstx2 = x2 + 7x + 2

Reorder the terms:
86qrst + 23qrstx + 2qrstx2 = 2 + 7x + x2

Solving
86qrst + 23qrstx + 2qrstx2 = 2 + 7x + x2

Solving for variable 'q'.

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

Reorder the terms:
-2 + 86qrst + 23qrstx + 2qrstx2 + -7x + -1x2 = 2 + 7x + x2 + -2 + -7x + -1x2

Reorder the terms:
-2 + 86qrst + 23qrstx + 2qrstx2 + -7x + -1x2 = 2 + -2 + 7x + -7x + x2 + -1x2

Combine like terms: 2 + -2 = 0
-2 + 86qrst + 23qrstx + 2qrstx2 + -7x + -1x2 = 0 + 7x + -7x + x2 + -1x2
-2 + 86qrst + 23qrstx + 2qrstx2 + -7x + -1x2 = 7x + -7x + x2 + -1x2

Combine like terms: 7x + -7x = 0
-2 + 86qrst + 23qrstx + 2qrstx2 + -7x + -1x2 = 0 + x2 + -1x2
-2 + 86qrst + 23qrstx + 2qrstx2 + -7x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2 + 86qrst + 23qrstx + 2qrstx2 + -7x + -1x2 = 0

The solution to this equation could not be determined.

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