7sqrt(4x)+9=2sqrt(5x)+6

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Solution for 7sqrt(4x)+9=2sqrt(5x)+6 equation:


Simplifying
7sqrt(4x) + 9 = 2sqrt(5x) + 6

Remove parenthesis around (4x)
7qrst * 4x + 9 = 2sqrt(5x) + 6

Reorder the terms for easier multiplication:
7 * 4qrst * x + 9 = 2sqrt(5x) + 6

Multiply 7 * 4
28qrst * x + 9 = 2sqrt(5x) + 6

Multiply qrst * x
28qrstx + 9 = 2sqrt(5x) + 6

Reorder the terms:
9 + 28qrstx = 2sqrt(5x) + 6

Remove parenthesis around (5x)
9 + 28qrstx = 2qrst * 5x + 6

Reorder the terms for easier multiplication:
9 + 28qrstx = 2 * 5qrst * x + 6

Multiply 2 * 5
9 + 28qrstx = 10qrst * x + 6

Multiply qrst * x
9 + 28qrstx = 10qrstx + 6

Reorder the terms:
9 + 28qrstx = 6 + 10qrstx

Solving
9 + 28qrstx = 6 + 10qrstx

Solving for variable 'q'.

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

Add '-10qrstx' to each side of the equation.
9 + 28qrstx + -10qrstx = 6 + 10qrstx + -10qrstx

Combine like terms: 28qrstx + -10qrstx = 18qrstx
9 + 18qrstx = 6 + 10qrstx + -10qrstx

Combine like terms: 10qrstx + -10qrstx = 0
9 + 18qrstx = 6 + 0
9 + 18qrstx = 6

Add '-9' to each side of the equation.
9 + -9 + 18qrstx = 6 + -9

Combine like terms: 9 + -9 = 0
0 + 18qrstx = 6 + -9
18qrstx = 6 + -9

Combine like terms: 6 + -9 = -3
18qrstx = -3

Divide each side by '18rstx'.
q = -0.1666666667r-1s-1t-1x-1

Simplifying
q = -0.1666666667r-1s-1t-1x-1

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