2x+3x^2+6x=72x

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Solution for 2x+3x^2+6x=72x equation:


Simplifying
2x + 3x2 + 6x = 72x

Reorder the terms:
2x + 6x + 3x2 = 72x

Combine like terms: 2x + 6x = 8x
8x + 3x2 = 72x

Solving
8x + 3x2 = 72x

Solving for variable 'x'.

Reorder the terms:
8x + -72x + 3x2 = 72x + -72x

Combine like terms: 8x + -72x = -64x
-64x + 3x2 = 72x + -72x

Combine like terms: 72x + -72x = 0
-64x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-64 + 3x) = 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 '(-64 + 3x)' equal to zero and attempt to solve: Simplifying -64 + 3x = 0 Solving -64 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 3x = 0 + 64 Combine like terms: -64 + 64 = 0 0 + 3x = 0 + 64 3x = 0 + 64 Combine like terms: 0 + 64 = 64 3x = 64 Divide each side by '3'. x = 21.33333333 Simplifying x = 21.33333333

Solution

x = {0, 21.33333333}

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