3x^2=210x

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Solution for 3x^2=210x equation:


Simplifying
3x2 = 210x

Solving
3x2 = 210x

Solving for variable 'x'.

Reorder the terms:
-210x + 3x2 = 210x + -210x

Combine like terms: 210x + -210x = 0
-210x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-70 + x) = 0

Ignore the factor 3.

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 '(-70 + x)' equal to zero and attempt to solve: Simplifying -70 + x = 0 Solving -70 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + x = 0 + 70 Combine like terms: -70 + 70 = 0 0 + x = 0 + 70 x = 0 + 70 Combine like terms: 0 + 70 = 70 x = 70 Simplifying x = 70

Solution

x = {0, 70}

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