4(x^2+6x)+35=0

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Solution for 4(x^2+6x)+35=0 equation: 


Simplifying
4(x2 + 6x) + 35 = 0

Reorder the terms:
4(6x + x2) + 35 = 0
(6x * 4 + x2 * 4) + 35 = 0
(24x + 4x2) + 35 = 0

Reorder the terms:
35 + 24x + 4x2 = 0

Solving
35 + 24x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + 2x)(5 + 2x) = 0


Subproblem 1
Set the factor '(7 + 2x)' equal to zero and attempt to solve:

Simplifying
7 + 2x = 0

Solving
7 + 2x = 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 + 2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 0 + -7
2x = 0 + -7

Combine like terms: 0 + -7 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5

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 = {-3.5, -2.5}

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