(5x-12)(11x+2)=0

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Solution for (5x-12)(11x+2)=0 equation:


Simplifying
(5x + -12)(11x + 2) = 0

Reorder the terms:
(-12 + 5x)(11x + 2) = 0

Reorder the terms:
(-12 + 5x)(2 + 11x) = 0

Multiply (-12 + 5x) * (2 + 11x)
(-12(2 + 11x) + 5x * (2 + 11x)) = 0
((2 * -12 + 11x * -12) + 5x * (2 + 11x)) = 0
((-24 + -132x) + 5x * (2 + 11x)) = 0
(-24 + -132x + (2 * 5x + 11x * 5x)) = 0
(-24 + -132x + (10x + 55x2)) = 0

Combine like terms: -132x + 10x = -122x
(-24 + -122x + 55x2) = 0

Solving
-24 + -122x + 55x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -11x)(12 + -5x) = 0

Subproblem 1

Set the factor '(-2 + -11x)' equal to zero and attempt to solve: Simplifying -2 + -11x = 0 Solving -2 + -11x = 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 + -11x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -11x = 0 + 2 -11x = 0 + 2 Combine like terms: 0 + 2 = 2 -11x = 2 Divide each side by '-11'. x = -0.1818181818 Simplifying x = -0.1818181818

Subproblem 2

Set the factor '(12 + -5x)' equal to zero and attempt to solve: Simplifying 12 + -5x = 0 Solving 12 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 0 + -12 -5x = 0 + -12 Combine like terms: 0 + -12 = -12 -5x = -12 Divide each side by '-5'. x = 2.4 Simplifying x = 2.4

Solution

x = {-0.1818181818, 2.4}

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