(3x)(2x+4)=5x^2-35

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Solution for (3x)(2x+4)=5x^2-35 equation: 


Simplifying
(3x)(2x + 4) = 5x2 + -35

Remove parenthesis around (3x)
3x(2x + 4) = 5x2 + -35

Reorder the terms:
3x(4 + 2x) = 5x2 + -35
(4 * 3x + 2x * 3x) = 5x2 + -35
(12x + 6x2) = 5x2 + -35

Reorder the terms:
12x + 6x2 = -35 + 5x2

Solving
12x + 6x2 = -35 + 5x2

Solving for variable 'x'.

Reorder the terms:
35 + 12x + 6x2 + -5x2 = -35 + 5x2 + 35 + -5x2

Combine like terms: 6x2 + -5x2 = 1x2
35 + 12x + 1x2 = -35 + 5x2 + 35 + -5x2

Reorder the terms:
35 + 12x + 1x2 = -35 + 35 + 5x2 + -5x2

Combine like terms: -35 + 35 = 0
35 + 12x + 1x2 = 0 + 5x2 + -5x2
35 + 12x + 1x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
35 + 12x + 1x2 = 0

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


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

Simplifying
7 + x = 0

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

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

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

Simplifying
x = -7

Subproblem 2
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
Solution
x = {-7, -5}

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