4x^2=84x

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Solution for 4x^2=84x equation:


Simplifying
4x2 = 84x

Solving
4x2 = 84x

Solving for variable 'x'.

Reorder the terms:
-84x + 4x2 = 84x + -84x

Combine like terms: 84x + -84x = 0
-84x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-21 + x) = 0

Ignore the factor 4.

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 '(-21 + x)' equal to zero and attempt to solve: Simplifying -21 + x = 0 Solving -21 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + x = 0 + 21 x = 0 + 21 Combine like terms: 0 + 21 = 21 x = 21 Simplifying x = 21

Solution

x = {0, 21}

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