x^2-35x=2x

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Solution for x^2-35x=2x equation:


Simplifying
x2 + -35x = 2x

Reorder the terms:
-35x + x2 = 2x

Solving
-35x + x2 = 2x

Solving for variable 'x'.

Reorder the terms:
-35x + -2x + x2 = 2x + -2x

Combine like terms: -35x + -2x = -37x
-37x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-37x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-37 + x) = 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 '(-37 + x)' equal to zero and attempt to solve: Simplifying -37 + x = 0 Solving -37 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + x = 0 + 37 Combine like terms: -37 + 37 = 0 0 + x = 0 + 37 x = 0 + 37 Combine like terms: 0 + 37 = 37 x = 37 Simplifying x = 37

Solution

x = {0, 37}

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