(7x-11)(3x+8)=0

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Solution for (7x-11)(3x+8)=0 equation: 


Simplifying
(7x + -11)(3x + 8) = 0

Reorder the terms:
(-11 + 7x)(3x + 8) = 0

Reorder the terms:
(-11 + 7x)(8 + 3x) = 0

Multiply (-11 + 7x) * (8 + 3x)
(-11(8 + 3x) + 7x * (8 + 3x)) = 0
((8 * -11 + 3x * -11) + 7x * (8 + 3x)) = 0
((-88 + -33x) + 7x * (8 + 3x)) = 0
(-88 + -33x + (8 * 7x + 3x * 7x)) = 0
(-88 + -33x + (56x + 21x2)) = 0

Combine like terms: -33x + 56x = 23x
(-88 + 23x + 21x2) = 0

Solving
-88 + 23x + 21x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -3x)(11 + -7x) = 0


Subproblem 1
Set the factor '(-8 + -3x)' equal to zero and attempt to solve:

Simplifying
-8 + -3x = 0

Solving
-8 + -3x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -3x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3x = 0 + 8
-3x = 0 + 8

Combine like terms: 0 + 8 = 8
-3x = 8

Divide each side by '-3'.
x = -2.666666667

Simplifying
x = -2.666666667

Subproblem 2
Set the factor '(11 + -7x)' equal to zero and attempt to solve:

Simplifying
11 + -7x = 0

Solving
11 + -7x = 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 + -7x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -7x = 0 + -11
-7x = 0 + -11

Combine like terms: 0 + -11 = -11
-7x = -11

Divide each side by '-7'.
x = 1.571428571

Simplifying
x = 1.571428571
Solution
x = {-2.666666667, 1.571428571}

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