25x=30x*x

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Solution for 25x=30x*x equation:


Simplifying
25x = 30x * x

Multiply x * x
25x = 30x2

Solving
25x = 30x2

Solving for variable 'x'.

Combine like terms: 30x2 + -30x2 = 0
25x + -30x2 = 0

Factor out the Greatest Common Factor (GCF), '5x'.
5x(5 + -6x) = 0

Ignore the factor 5.

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 '(5 + -6x)' equal to zero and attempt to solve: Simplifying 5 + -6x = 0 Solving 5 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 0 + -5 -6x = 0 + -5 Combine like terms: 0 + -5 = -5 -6x = -5 Divide each side by '-6'. x = 0.8333333333 Simplifying x = 0.8333333333

Solution

x = {0, 0.8333333333}

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