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

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


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

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

Multiply (7 + x) * (-11 + 4x)
(7(-11 + 4x) + x(-11 + 4x)) = 0
((-11 * 7 + 4x * 7) + x(-11 + 4x)) = 0
((-77 + 28x) + x(-11 + 4x)) = 0
(-77 + 28x + (-11 * x + 4x * x)) = 0
(-77 + 28x + (-11x + 4x2)) = 0

Combine like terms: 28x + -11x = 17x
(-77 + 17x + 4x2) = 0

Solving
-77 + 17x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -1x)(11 + -4x) = 0


Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 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 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

Subproblem 2
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
Solution
x = {-7, 2.75}

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