100x-10x^2=20x^2

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Solution for 100x-10x^2=20x^2 equation:


Simplifying
100x + -10x2 = 20x2

Solving
100x + -10x2 = 20x2

Solving for variable 'x'.

Combine like terms: -10x2 + -20x2 = -30x2
100x + -30x2 = 20x2 + -20x2

Combine like terms: 20x2 + -20x2 = 0
100x + -30x2 = 0

Factor out the Greatest Common Factor (GCF), '10x'.
10x(10 + -3x) = 0

Ignore the factor 10.

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 '(10 + -3x)' equal to zero and attempt to solve: Simplifying 10 + -3x = 0 Solving 10 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 0 + -10 -3x = 0 + -10 Combine like terms: 0 + -10 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333

Solution

x = {0, 3.333333333}

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