42+11x=5x^2

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Solution for 42+11x=5x^2 equation:


Simplifying
42 + 11x = 5x2

Solving
42 + 11x = 5x2

Solving for variable 'x'.

Combine like terms: 5x2 + -5x2 = 0
42 + 11x + -5x2 = 0

Factor a trinomial.
(21 + -5x)(2 + x) = 0

Subproblem 1

Set the factor '(21 + -5x)' equal to zero and attempt to solve: Simplifying 21 + -5x = 0 Solving 21 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -5x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -5x = 0 + -21 -5x = 0 + -21 Combine like terms: 0 + -21 = -21 -5x = -21 Divide each side by '-5'. x = 4.2 Simplifying x = 4.2

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 = {4.2, -2}

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