(3-x)(2x+11)=0

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Solution for (3-x)(2x+11)=0 equation:


Simplifying
(3 + -1x)(2x + 11) = 0

Reorder the terms:
(3 + -1x)(11 + 2x) = 0

Multiply (3 + -1x) * (11 + 2x)
(3(11 + 2x) + -1x * (11 + 2x)) = 0
((11 * 3 + 2x * 3) + -1x * (11 + 2x)) = 0
((33 + 6x) + -1x * (11 + 2x)) = 0
(33 + 6x + (11 * -1x + 2x * -1x)) = 0
(33 + 6x + (-11x + -2x2)) = 0

Combine like terms: 6x + -11x = -5x
(33 + -5x + -2x2) = 0

Solving
33 + -5x + -2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -1x)(11 + 2x) = 0

Subproblem 1

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Subproblem 2

Set the factor '(11 + 2x)' equal to zero and attempt to solve: Simplifying 11 + 2x = 0 Solving 11 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = 0 + -11 2x = 0 + -11 Combine like terms: 0 + -11 = -11 2x = -11 Divide each side by '2'. x = -5.5 Simplifying x = -5.5

Solution

x = {3, -5.5}

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