sqrt(5x-11)=sqrt(2x+10)

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Solution for sqrt(5x-11)=sqrt(2x+10) equation:


Simplifying
sqrt(5x + -11) = sqrt(2x + 10)

Reorder the terms:
qrst(-11 + 5x) = sqrt(2x + 10)
(-11 * qrst + 5x * qrst) = sqrt(2x + 10)
(-11qrst + 5qrstx) = sqrt(2x + 10)

Reorder the terms:
-11qrst + 5qrstx = qrst(10 + 2x)
-11qrst + 5qrstx = (10 * qrst + 2x * qrst)
-11qrst + 5qrstx = (10qrst + 2qrstx)

Solving
-11qrst + 5qrstx = 10qrst + 2qrstx

Solving for variable 'q'.

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

Add '-10qrst' to each side of the equation.
-11qrst + -10qrst + 5qrstx = 10qrst + -10qrst + 2qrstx

Combine like terms: -11qrst + -10qrst = -21qrst
-21qrst + 5qrstx = 10qrst + -10qrst + 2qrstx

Combine like terms: 10qrst + -10qrst = 0
-21qrst + 5qrstx = 0 + 2qrstx
-21qrst + 5qrstx = 2qrstx

Add '-2qrstx' to each side of the equation.
-21qrst + 5qrstx + -2qrstx = 2qrstx + -2qrstx

Combine like terms: 5qrstx + -2qrstx = 3qrstx
-21qrst + 3qrstx = 2qrstx + -2qrstx

Combine like terms: 2qrstx + -2qrstx = 0
-21qrst + 3qrstx = 0

Factor out the Greatest Common Factor (GCF), '3qrst'.
3qrst(-7 + x) = 0

Ignore the factor 3.

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 '(-7 + x)' equal to zero and attempt to solve: Simplifying -7 + x = 0 Solving -7 + x = 0 Move all terms containing q to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x = 0 + 7 x = 0 + 7 Combine like terms: 0 + 7 = 7 x = 7 Add '-1x' to each side of the equation. x + -1x = 7 + -1x Combine like terms: x + -1x = 0 0 = 7 + -1x Simplifying 0 = 7 + -1x 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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