2x^2-15+sqrt(x^2-5x-6)=10x

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Solution for 2x^2-15+sqrt(x^2-5x-6)=10x equation:


Simplifying
2x2 + -15 + sqrt(x2 + -5x + -6) = 10x

Reorder the terms:
2x2 + -15 + qrst(-6 + -5x + x2) = 10x
2x2 + -15 + (-6 * qrst + -5x * qrst + x2 * qrst) = 10x
2x2 + -15 + (-6qrst + -5qrstx + qrstx2) = 10x

Reorder the terms:
-15 + -6qrst + -5qrstx + qrstx2 + 2x2 = 10x

Solving
-15 + -6qrst + -5qrstx + qrstx2 + 2x2 = 10x

Solving for variable 'q'.

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

Add '15' to each side of the equation.
-15 + -6qrst + -5qrstx + qrstx2 + 15 + 2x2 = 15 + 10x

Reorder the terms:
-15 + 15 + -6qrst + -5qrstx + qrstx2 + 2x2 = 15 + 10x

Combine like terms: -15 + 15 = 0
0 + -6qrst + -5qrstx + qrstx2 + 2x2 = 15 + 10x
-6qrst + -5qrstx + qrstx2 + 2x2 = 15 + 10x

Add '-2x2' to each side of the equation.
-6qrst + -5qrstx + qrstx2 + 2x2 + -2x2 = 15 + 10x + -2x2

Combine like terms: 2x2 + -2x2 = 0
-6qrst + -5qrstx + qrstx2 + 0 = 15 + 10x + -2x2
-6qrst + -5qrstx + qrstx2 = 15 + 10x + -2x2

Reorder the terms:
-15 + -6qrst + -5qrstx + qrstx2 + -10x + 2x2 = 15 + 10x + -2x2 + -15 + -10x + 2x2

Reorder the terms:
-15 + -6qrst + -5qrstx + qrstx2 + -10x + 2x2 = 15 + -15 + 10x + -10x + -2x2 + 2x2

Combine like terms: 15 + -15 = 0
-15 + -6qrst + -5qrstx + qrstx2 + -10x + 2x2 = 0 + 10x + -10x + -2x2 + 2x2
-15 + -6qrst + -5qrstx + qrstx2 + -10x + 2x2 = 10x + -10x + -2x2 + 2x2

Combine like terms: 10x + -10x = 0
-15 + -6qrst + -5qrstx + qrstx2 + -10x + 2x2 = 0 + -2x2 + 2x2
-15 + -6qrst + -5qrstx + qrstx2 + -10x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-15 + -6qrst + -5qrstx + qrstx2 + -10x + 2x2 = 0

The solution to this equation could not be determined.

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