80x=6x^2

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Solution for 80x=6x^2 equation:


Simplifying
80x = 6x2

Solving
80x = 6x2

Solving for variable 'x'.

Combine like terms: 6x2 + -6x2 = 0
80x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(40 + -3x) = 0

Ignore the factor 2.

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 '(40 + -3x)' equal to zero and attempt to solve: Simplifying 40 + -3x = 0 Solving 40 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -3x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -3x = 0 + -40 -3x = 0 + -40 Combine like terms: 0 + -40 = -40 -3x = -40 Divide each side by '-3'. x = 13.33333333 Simplifying x = 13.33333333

Solution

x = {0, 13.33333333}

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