sqrt(4x+4)=sqrt(-5x-6)

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Solution for sqrt(4x+4)=sqrt(-5x-6) equation: 


Simplifying
sqrt(4x + 4) = sqrt(-5x + -6)

Reorder the terms:
qrst(4 + 4x) = sqrt(-5x + -6)
(4 * qrst + 4x * qrst) = sqrt(-5x + -6)
(4qrst + 4qrstx) = sqrt(-5x + -6)

Reorder the terms:
4qrst + 4qrstx = qrst(-6 + -5x)
4qrst + 4qrstx = (-6 * qrst + -5x * qrst)
4qrst + 4qrstx = (-6qrst + -5qrstx)

Solving
4qrst + 4qrstx = -6qrst + -5qrstx

Solving for variable 'q'.

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

Add '6qrst' to each side of the equation.
4qrst + 6qrst + 4qrstx = -6qrst + 6qrst + -5qrstx

Combine like terms: 4qrst + 6qrst = 10qrst
10qrst + 4qrstx = -6qrst + 6qrst + -5qrstx

Combine like terms: -6qrst + 6qrst = 0
10qrst + 4qrstx = 0 + -5qrstx
10qrst + 4qrstx = -5qrstx

Add '5qrstx' to each side of the equation.
10qrst + 4qrstx + 5qrstx = -5qrstx + 5qrstx

Combine like terms: 4qrstx + 5qrstx = 9qrstx
10qrst + 9qrstx = -5qrstx + 5qrstx

Combine like terms: -5qrstx + 5qrstx = 0
10qrst + 9qrstx = 0

Factor out the Greatest Common Factor (GCF), 'qrst'.
qrst(10 + 9x) = 0


Subproblem 1
Set the factor 'qrst' equal to zero and attempt to solve:

Simplifying
qrst = 0

Solving
qrst = 0

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

Simplifying
qrst = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(10 + 9x)' equal to zero and attempt to solve:

Simplifying
10 + 9x = 0

Solving
10 + 9x = 0

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

Add '-10' to each side of the equation.
10 + -10 + 9x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 9x = 0 + -10
9x = 0 + -10

Combine like terms: 0 + -10 = -10
9x = -10

Add '-9x' to each side of the equation.
9x + -9x = -10 + -9x

Combine like terms: 9x + -9x = 0
0 = -10 + -9x

Simplifying
0 = -10 + -9x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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