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

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


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

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

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

Multiply (-3 + 11x) * (3 + 2x)
(-3(3 + 2x) + 11x * (3 + 2x)) = 0
((3 * -3 + 2x * -3) + 11x * (3 + 2x)) = 0
((-9 + -6x) + 11x * (3 + 2x)) = 0
(-9 + -6x + (3 * 11x + 2x * 11x)) = 0
(-9 + -6x + (33x + 22x2)) = 0

Combine like terms: -6x + 33x = 27x
(-9 + 27x + 22x2) = 0

Solving
-9 + 27x + 22x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(-3 + -2x)' equal to zero and attempt to solve: Simplifying -3 + -2x = 0 Solving -3 + -2x = 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 + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 0 + 3 -2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5

Subproblem 2

Set the factor '(3 + -11x)' equal to zero and attempt to solve: Simplifying 3 + -11x = 0 Solving 3 + -11x = 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 + -11x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -11x = 0 + -3 -11x = 0 + -3 Combine like terms: 0 + -3 = -3 -11x = -3 Divide each side by '-11'. x = 0.2727272727 Simplifying x = 0.2727272727

Solution

x = {-1.5, 0.2727272727}

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