x+16x=80xsquared-32x

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Solution for x+16x=80xsquared-32x equation:


Simplifying
x + 16x = 80xsquared + -32x

Combine like terms: x + 16x = 17x
17x = 80xsquared + -32x

Solving
17x = 80adeqrsux + -32x

Solving for variable 'x'.

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

Add '-80adeqrsux' to each side of the equation.
-80adeqrsux + 17x = 80adeqrsux + -80adeqrsux + -32x

Combine like terms: 80adeqrsux + -80adeqrsux = 0
-80adeqrsux + 17x = 0 + -32x
-80adeqrsux + 17x = -32x

Add '32x' to each side of the equation.
-80adeqrsux + 17x + 32x = -32x + 32x

Combine like terms: 17x + 32x = 49x
-80adeqrsux + 49x = -32x + 32x

Combine like terms: -32x + 32x = 0
-80adeqrsux + 49x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-80adeqrsu + 49) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-80adeqrsu + 49)' equal to zero and attempt to solve: Simplifying -80adeqrsu + 49 = 0 Reorder the terms: 49 + -80adeqrsu = 0 Solving 49 + -80adeqrsu = 0 Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -80adeqrsu = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -80adeqrsu = 0 + -49 -80adeqrsu = 0 + -49 Combine like terms: 0 + -49 = -49 -80adeqrsu = -49 Add '80adeqrsu' to each side of the equation. -80adeqrsu + 80adeqrsu = -49 + 80adeqrsu Combine like terms: -80adeqrsu + 80adeqrsu = 0 0 = -49 + 80adeqrsu Simplifying 0 = -49 + 80adeqrsu The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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