6x^2+10x=-21x-35

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Solution for 6x^2+10x=-21x-35 equation: 


Simplifying
6x2 + 10x = -21x + -35

Reorder the terms:
10x + 6x2 = -21x + -35

Reorder the terms:
10x + 6x2 = -35 + -21x

Solving
10x + 6x2 = -35 + -21x

Solving for variable 'x'.

Reorder the terms:
35 + 10x + 21x + 6x2 = -35 + -21x + 35 + 21x

Combine like terms: 10x + 21x = 31x
35 + 31x + 6x2 = -35 + -21x + 35 + 21x

Reorder the terms:
35 + 31x + 6x2 = -35 + 35 + -21x + 21x

Combine like terms: -35 + 35 = 0
35 + 31x + 6x2 = 0 + -21x + 21x
35 + 31x + 6x2 = -21x + 21x

Combine like terms: -21x + 21x = 0
35 + 31x + 6x2 = 0

Factor a trinomial.
(7 + 2x)(5 + 3x) = 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 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 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 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667
Solution
x = {-3.5, -1.666666667}

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