sqrt(2x-9)sqrt(6x-5)=5

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Solution for sqrt(2x-9)sqrt(6x-5)=5 equation: 


Simplifying
sqrt(2x + -9) * sqrt(6x + -5) = 5

Reorder the terms:
qrst(-9 + 2x) * sqrt(6x + -5) = 5

Reorder the terms:
qrst(-9 + 2x) * qrst(-5 + 6x) = 5

Reorder the terms for easier multiplication:
qrst * qrst(-9 + 2x)(-5 + 6x) = 5

Multiply qrst * qrst
q2r2s2t2(-9 + 2x)(-5 + 6x) = 5

Multiply (-9 + 2x) * (-5 + 6x)
q2r2s2t2(-9(-5 + 6x) + 2x * (-5 + 6x)) = 5
q2r2s2t2((-5 * -9 + 6x * -9) + 2x * (-5 + 6x)) = 5
q2r2s2t2((45 + -54x) + 2x * (-5 + 6x)) = 5
q2r2s2t2(45 + -54x + (-5 * 2x + 6x * 2x)) = 5
q2r2s2t2(45 + -54x + (-10x + 12x2)) = 5

Combine like terms: -54x + -10x = -64x
q2r2s2t2(45 + -64x + 12x2) = 5
(45 * q2r2s2t2 + -64x * q2r2s2t2 + 12x2 * q2r2s2t2) = 5
(45q2r2s2t2 + -64q2r2s2t2x + 12q2r2s2t2x2) = 5

Solving
45q2r2s2t2 + -64q2r2s2t2x + 12q2r2s2t2x2 = 5

Solving for variable 'q'.

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

Reorder the terms:
-5 + 45q2r2s2t2 + -64q2r2s2t2x + 12q2r2s2t2x2 = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + 45q2r2s2t2 + -64q2r2s2t2x + 12q2r2s2t2x2 = 0

The solution to this equation could not be determined.

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