13(x-5)sqr-14=38

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Solution for 13(x-5)sqr-14=38 equation:


Simplifying
13(x + -5) * sqr + -14 = 38

Reorder the terms:
13(-5 + x) * sqr + -14 = 38

Reorder the terms for easier multiplication:
13qrs(-5 + x) + -14 = 38
(-5 * 13qrs + x * 13qrs) + -14 = 38
(-65qrs + 13qrsx) + -14 = 38

Reorder the terms:
-14 + -65qrs + 13qrsx = 38

Solving
-14 + -65qrs + 13qrsx = 38

Solving for variable 'q'.

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

Add '14' to each side of the equation.
-14 + -65qrs + 14 + 13qrsx = 38 + 14

Reorder the terms:
-14 + 14 + -65qrs + 13qrsx = 38 + 14

Combine like terms: -14 + 14 = 0
0 + -65qrs + 13qrsx = 38 + 14
-65qrs + 13qrsx = 38 + 14

Combine like terms: 38 + 14 = 52
-65qrs + 13qrsx = 52

Reorder the terms:
-52 + -65qrs + 13qrsx = 52 + -52

Combine like terms: 52 + -52 = 0
-52 + -65qrs + 13qrsx = 0

Factor out the Greatest Common Factor (GCF), '13'.
13(-4 + -5qrs + qrsx) = 0

Ignore the factor 13.

Subproblem 1

Set the factor '(-4 + -5qrs + qrsx)' equal to zero and attempt to solve: Simplifying -4 + -5qrs + qrsx = 0 Solving -4 + -5qrs + qrsx = 0 Move all terms containing q to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -5qrs + 4 + qrsx = 0 + 4 Reorder the terms: -4 + 4 + -5qrs + qrsx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5qrs + qrsx = 0 + 4 -5qrs + qrsx = 0 + 4 Combine like terms: 0 + 4 = 4 -5qrs + qrsx = 4 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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