35=(2x+3)*x

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Solution for 35=(2x+3)*x equation: 


Simplifying
35 = (2x + 3) * x

Reorder the terms:
35 = (3 + 2x) * x

Reorder the terms for easier multiplication:
35 = x(3 + 2x)
35 = (3 * x + 2x * x)
35 = (3x + 2x2)

Solving
35 = 3x + 2x2

Solving for variable 'x'.

Reorder the terms:
35 + -3x + -2x2 = 3x + -3x + 2x2 + -2x2

Combine like terms: 3x + -3x = 0
35 + -3x + -2x2 = 0 + 2x2 + -2x2
35 + -3x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
35 + -3x + -2x2 = 0

Factor a trinomial.
(7 + -2x)(5 + x) = 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 + 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 = {3.5, -5}

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