3x^2-2x*10=0

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Solution for 3x^2-2x*10=0 equation:


Simplifying
3x2 + -2x * 10 = 0

Reorder the terms for easier multiplication:
3x2 + -2 * 10x = 0

Multiply -2 * 10
3x2 + -20x = 0

Reorder the terms:
-20x + 3x2 = 0

Solving
-20x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-20 + 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 '(-20 + 3x)' equal to zero and attempt to solve: Simplifying -20 + 3x = 0 Solving -20 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 3x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 3x = 0 + 20 3x = 0 + 20 Combine like terms: 0 + 20 = 20 3x = 20 Divide each side by '3'. x = 6.666666667 Simplifying x = 6.666666667

Solution

x = {0, 6.666666667}

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