(2x-11)(-5x-7)=0

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Solution for (2x-11)(-5x-7)=0 equation: 


Simplifying
(2x + -11)(-5x + -7) = 0

Reorder the terms:
(-11 + 2x)(-5x + -7) = 0

Reorder the terms:
(-11 + 2x)(-7 + -5x) = 0

Multiply (-11 + 2x) * (-7 + -5x)
(-11(-7 + -5x) + 2x * (-7 + -5x)) = 0
((-7 * -11 + -5x * -11) + 2x * (-7 + -5x)) = 0
((77 + 55x) + 2x * (-7 + -5x)) = 0
(77 + 55x + (-7 * 2x + -5x * 2x)) = 0
(77 + 55x + (-14x + -10x2)) = 0

Combine like terms: 55x + -14x = 41x
(77 + 41x + -10x2) = 0

Solving
77 + 41x + -10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(11 + -2x)(7 + 5x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(7 + 5x)' equal to zero and attempt to solve:

Simplifying
7 + 5x = 0

Solving
7 + 5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + 5x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 0 + -7
5x = 0 + -7

Combine like terms: 0 + -7 = -7
5x = -7

Divide each side by '5'.
x = -1.4

Simplifying
x = -1.4
Solution
x = {5.5, -1.4}

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