(2x+10)(2x-11)=0

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Solution for (2x+10)(2x-11)=0 equation: 


Simplifying
(2x + 10)(2x + -11) = 0

Reorder the terms:
(10 + 2x)(2x + -11) = 0

Reorder the terms:
(10 + 2x)(-11 + 2x) = 0

Multiply (10 + 2x) * (-11 + 2x)
(10(-11 + 2x) + 2x * (-11 + 2x)) = 0
((-11 * 10 + 2x * 10) + 2x * (-11 + 2x)) = 0
((-110 + 20x) + 2x * (-11 + 2x)) = 0
(-110 + 20x + (-11 * 2x + 2x * 2x)) = 0
(-110 + 20x + (-22x + 4x2)) = 0

Combine like terms: 20x + -22x = -2x
(-110 + -2x + 4x2) = 0

Solving
-110 + -2x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-55 + -1x + 2x2) = 0

Factor a trinomial.
2((-5 + -1x)(11 + -2x)) = 0

Ignore the factor 2.

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

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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 = {-5, 5.5}

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