sqrt(7x^2+15x)(-2x)=5+x

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Solution for sqrt(7x^2+15x)(-2x)=5+x equation: 


Simplifying
sqrt(7x2 + 15x)(-2x) = 5 + x

Reorder the terms:
qrst(15x + 7x2)(-2x) = 5 + x

Remove parenthesis around (-2x)
qrst(15x + 7x2) * -2x = 5 + x

Reorder the terms for easier multiplication:
-2qrst * x(15x + 7x2) = 5 + x

Multiply qrst * x
-2qrstx(15x + 7x2) = 5 + x
(15x * -2qrstx + 7x2 * -2qrstx) = 5 + x
(-30qrstx2 + -14qrstx3) = 5 + x

Solving
-30qrstx2 + -14qrstx3 = 5 + x

Solving for variable 'q'.

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

Reorder the terms:
-5 + -30qrstx2 + -14qrstx3 + -1x = 5 + x + -5 + -1x

Reorder the terms:
-5 + -30qrstx2 + -14qrstx3 + -1x = 5 + -5 + x + -1x

Combine like terms: 5 + -5 = 0
-5 + -30qrstx2 + -14qrstx3 + -1x = 0 + x + -1x
-5 + -30qrstx2 + -14qrstx3 + -1x = x + -1x

Combine like terms: x + -1x = 0
-5 + -30qrstx2 + -14qrstx3 + -1x = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(5 + 30qrstx2 + 14qrstx3 + x) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(5 + 30qrstx2 + 14qrstx3 + x)' equal to zero and attempt to solve:

Simplifying
5 + 30qrstx2 + 14qrstx3 + x = 0

Solving
5 + 30qrstx2 + 14qrstx3 + x = 0

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

Add '-5' to each side of the equation.
5 + 30qrstx2 + 14qrstx3 + -5 + x = 0 + -5

Reorder the terms:
5 + -5 + 30qrstx2 + 14qrstx3 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 30qrstx2 + 14qrstx3 + x = 0 + -5
30qrstx2 + 14qrstx3 + x = 0 + -5

Combine like terms: 0 + -5 = -5
30qrstx2 + 14qrstx3 + x = -5

Add '-1x' to each side of the equation.
30qrstx2 + 14qrstx3 + x + -1x = -5 + -1x

Combine like terms: x + -1x = 0
30qrstx2 + 14qrstx3 + 0 = -5 + -1x
30qrstx2 + 14qrstx3 = -5 + -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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