x(4x+27)+35=0

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Solution for x(4x+27)+35=0 equation: 


Simplifying
x(4x + 27) + 35 = 0

Reorder the terms:
x(27 + 4x) + 35 = 0
(27 * x + 4x * x) + 35 = 0
(27x + 4x2) + 35 = 0

Reorder the terms:
35 + 27x + 4x2 = 0

Solving
35 + 27x + 4x2 = 0

Solving for variable 'x'.

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


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

Simplifying
5 + x = 0

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

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

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

Simplifying
x = -5

Subproblem 2
Set the factor '(7 + 4x)' equal to zero and attempt to solve:

Simplifying
7 + 4x = 0

Solving
7 + 4x = 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 + 4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4x = 0 + -7
4x = 0 + -7

Combine like terms: 0 + -7 = -7
4x = -7

Divide each side by '4'.
x = -1.75

Simplifying
x = -1.75
Solution
x = {-5, -1.75}

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