(5x+3)(2x-11)=0

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Solution for (5x+3)(2x-11)=0 equation: 


Simplifying
(5x + 3)(2x + -11) = 0

Reorder the terms:
(3 + 5x)(2x + -11) = 0

Reorder the terms:
(3 + 5x)(-11 + 2x) = 0

Multiply (3 + 5x) * (-11 + 2x)
(3(-11 + 2x) + 5x * (-11 + 2x)) = 0
((-11 * 3 + 2x * 3) + 5x * (-11 + 2x)) = 0
((-33 + 6x) + 5x * (-11 + 2x)) = 0
(-33 + 6x + (-11 * 5x + 2x * 5x)) = 0
(-33 + 6x + (-55x + 10x2)) = 0

Combine like terms: 6x + -55x = -49x
(-33 + -49x + 10x2) = 0

Solving
-33 + -49x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -5x)(11 + -2x) = 0


Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve:

Simplifying
-3 + -5x = 0

Solving
-3 + -5x = 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 + -5x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5x = 0 + 3
-5x = 0 + 3

Combine like terms: 0 + 3 = 3
-5x = 3

Divide each side by '-5'.
x = -0.6

Simplifying
x = -0.6

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 = {-0.6, 5.5}

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