sqrt(3x^2-7x-30)+sqrt(2x^2-7x+5)=x+5

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Solution for sqrt(3x^2-7x-30)+sqrt(2x^2-7x+5)=x+5 equation:


Simplifying
sqrt(3x2 + -7x + -30) + sqrt(2x2 + -7x + 5) = x + 5

Reorder the terms:
qrst(-30 + -7x + 3x2) + sqrt(2x2 + -7x + 5) = x + 5
(-30 * qrst + -7x * qrst + 3x2 * qrst) + sqrt(2x2 + -7x + 5) = x + 5
(-30qrst + -7qrstx + 3qrstx2) + sqrt(2x2 + -7x + 5) = x + 5

Reorder the terms:
-30qrst + -7qrstx + 3qrstx2 + qrst(5 + -7x + 2x2) = x + 5
-30qrst + -7qrstx + 3qrstx2 + (5 * qrst + -7x * qrst + 2x2 * qrst) = x + 5
-30qrst + -7qrstx + 3qrstx2 + (5qrst + -7qrstx + 2qrstx2) = x + 5

Reorder the terms:
-30qrst + 5qrst + -7qrstx + -7qrstx + 3qrstx2 + 2qrstx2 = x + 5

Combine like terms: -30qrst + 5qrst = -25qrst
-25qrst + -7qrstx + -7qrstx + 3qrstx2 + 2qrstx2 = x + 5

Combine like terms: -7qrstx + -7qrstx = -14qrstx
-25qrst + -14qrstx + 3qrstx2 + 2qrstx2 = x + 5

Combine like terms: 3qrstx2 + 2qrstx2 = 5qrstx2
-25qrst + -14qrstx + 5qrstx2 = x + 5

Reorder the terms:
-25qrst + -14qrstx + 5qrstx2 = 5 + x

Solving
-25qrst + -14qrstx + 5qrstx2 = 5 + x

Solving for variable 'q'.

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

Reorder the terms:
-5 + -25qrst + -14qrstx + 5qrstx2 + -1x = 5 + x + -5 + -1x

Reorder the terms:
-5 + -25qrst + -14qrstx + 5qrstx2 + -1x = 5 + -5 + x + -1x

Combine like terms: 5 + -5 = 0
-5 + -25qrst + -14qrstx + 5qrstx2 + -1x = 0 + x + -1x
-5 + -25qrst + -14qrstx + 5qrstx2 + -1x = x + -1x

Combine like terms: x + -1x = 0
-5 + -25qrst + -14qrstx + 5qrstx2 + -1x = 0

The solution to this equation could not be determined.

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