20+6x=2x^2

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Solution for 20+6x=2x^2 equation:


Simplifying
20 + 6x = 2x2

Solving
20 + 6x = 2x2

Solving for variable 'x'.

Combine like terms: 2x2 + -2x2 = 0
20 + 6x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + 3x + -1x2) = 0

Factor a trinomial.
2((5 + -1x)(2 + x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Subproblem 2

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {5, -2}

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