0=x^2-17x

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Solution for 0=x^2-17x equation:


Simplifying
0 = x2 + -17x

Reorder the terms:
0 = -17x + x2

Solving
0 = -17x + x2

Solving for variable 'x'.
Remove the zero:
17x + -1x2 = -17x + x2 + 17x + -1x2

Reorder the terms:
17x + -1x2 = -17x + 17x + x2 + -1x2

Combine like terms: -17x + 17x = 0
17x + -1x2 = 0 + x2 + -1x2
17x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
17x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(17 + -1x) = 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 '(17 + -1x)' equal to zero and attempt to solve: Simplifying 17 + -1x = 0 Solving 17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 0 + -17 -1x = 0 + -17 Combine like terms: 0 + -17 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17

Solution

x = {0, 17}

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