(11+x)(4x-10)=

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Solution for (11+x)(4x-10)= equation: 


Simplifying
(11 + x)(4x + -10) = 0

Reorder the terms:
(11 + x)(-10 + 4x) = 0

Multiply (11 + x) * (-10 + 4x)
(11(-10 + 4x) + x(-10 + 4x)) = 0
((-10 * 11 + 4x * 11) + x(-10 + 4x)) = 0
((-110 + 44x) + x(-10 + 4x)) = 0
(-110 + 44x + (-10 * x + 4x * x)) = 0
(-110 + 44x + (-10x + 4x2)) = 0

Combine like terms: 44x + -10x = 34x
(-110 + 34x + 4x2) = 0

Solving
-110 + 34x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-55 + 17x + 2x2) = 0

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

Ignore the factor 2.

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

Simplifying
-11 + -1x = 0

Solving
-11 + -1x = 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 + -1x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = 0 + 11
-1x = 0 + 11

Combine like terms: 0 + 11 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

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

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {-11, 2.5}

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