(4x+11)(5x+7)=0

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Solution for (4x+11)(5x+7)=0 equation: 


Simplifying
(4x + 11)(5x + 7) = 0

Reorder the terms:
(11 + 4x)(5x + 7) = 0

Reorder the terms:
(11 + 4x)(7 + 5x) = 0

Multiply (11 + 4x) * (7 + 5x)
(11(7 + 5x) + 4x * (7 + 5x)) = 0
((7 * 11 + 5x * 11) + 4x * (7 + 5x)) = 0
((77 + 55x) + 4x * (7 + 5x)) = 0
(77 + 55x + (7 * 4x + 5x * 4x)) = 0
(77 + 55x + (28x + 20x2)) = 0

Combine like terms: 55x + 28x = 83x
(77 + 83x + 20x2) = 0

Solving
77 + 83x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(11 + 4x)(7 + 5x) = 0


Subproblem 1
Set the factor '(11 + 4x)' equal to zero and attempt to solve:

Simplifying
11 + 4x = 0

Solving
11 + 4x = 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 + 4x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 4x = 0 + -11
4x = 0 + -11

Combine like terms: 0 + -11 = -11
4x = -11

Divide each side by '4'.
x = -2.75

Simplifying
x = -2.75

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 = {-2.75, -1.4}

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