19x=2x^2

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Solution for 19x=2x^2 equation:


Simplifying
19x = 2x2

Solving
19x = 2x2

Solving for variable 'x'.

Combine like terms: 2x2 + -2x2 = 0
19x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(19 + -2x) = 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 '(19 + -2x)' equal to zero and attempt to solve: Simplifying 19 + -2x = 0 Solving 19 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -2x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -2x = 0 + -19 -2x = 0 + -19 Combine like terms: 0 + -19 = -19 -2x = -19 Divide each side by '-2'. x = 9.5 Simplifying x = 9.5

Solution

x = {0, 9.5}

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