4x(x+2)+35=-x(2x+21)

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Solution for 4x(x+2)+35=-x(2x+21) equation: 


Simplifying
4x(x + 2) + 35 = -1x(2x + 21)

Reorder the terms:
4x(2 + x) + 35 = -1x(2x + 21)
(2 * 4x + x * 4x) + 35 = -1x(2x + 21)
(8x + 4x2) + 35 = -1x(2x + 21)

Reorder the terms:
35 + 8x + 4x2 = -1x(2x + 21)

Reorder the terms:
35 + 8x + 4x2 = -1x(21 + 2x)
35 + 8x + 4x2 = (21 * -1x + 2x * -1x)
35 + 8x + 4x2 = (-21x + -2x2)

Solving
35 + 8x + 4x2 = -21x + -2x2

Solving for variable 'x'.

Reorder the terms:
35 + 8x + 21x + 4x2 + 2x2 = -21x + -2x2 + 21x + 2x2

Combine like terms: 8x + 21x = 29x
35 + 29x + 4x2 + 2x2 = -21x + -2x2 + 21x + 2x2

Combine like terms: 4x2 + 2x2 = 6x2
35 + 29x + 6x2 = -21x + -2x2 + 21x + 2x2

Reorder the terms:
35 + 29x + 6x2 = -21x + 21x + -2x2 + 2x2

Combine like terms: -21x + 21x = 0
35 + 29x + 6x2 = 0 + -2x2 + 2x2
35 + 29x + 6x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
35 + 29x + 6x2 = 0

Factor a trinomial.
(5 + 2x)(7 + 3x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(7 + 3x)' equal to zero and attempt to solve:

Simplifying
7 + 3x = 0

Solving
7 + 3x = 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 + 3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 0 + -7
3x = 0 + -7

Combine like terms: 0 + -7 = -7
3x = -7

Divide each side by '3'.
x = -2.333333333

Simplifying
x = -2.333333333
Solution
x = {-2.5, -2.333333333}

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