3x^2+37x+21=8x-7x^2

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Solution for 3x^2+37x+21=8x-7x^2 equation: 


Simplifying
3x2 + 37x + 21 = 8x + -7x2

Reorder the terms:
21 + 37x + 3x2 = 8x + -7x2

Solving
21 + 37x + 3x2 = 8x + -7x2

Solving for variable 'x'.

Reorder the terms:
21 + 37x + -8x + 3x2 + 7x2 = 8x + -7x2 + -8x + 7x2

Combine like terms: 37x + -8x = 29x
21 + 29x + 3x2 + 7x2 = 8x + -7x2 + -8x + 7x2

Combine like terms: 3x2 + 7x2 = 10x2
21 + 29x + 10x2 = 8x + -7x2 + -8x + 7x2

Reorder the terms:
21 + 29x + 10x2 = 8x + -8x + -7x2 + 7x2

Combine like terms: 8x + -8x = 0
21 + 29x + 10x2 = 0 + -7x2 + 7x2
21 + 29x + 10x2 = -7x2 + 7x2

Combine like terms: -7x2 + 7x2 = 0
21 + 29x + 10x2 = 0

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


Subproblem 1
Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + 2x = 0 + -3

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

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

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5

Subproblem 2
Set the factor '(7 + 5x)' equal to zero and attempt to solve:

Simplifying
7 + 5x = 0

Solving
7 + 5x = 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 + 5x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 0 + -7
5x = 0 + -7

Combine like terms: 0 + -7 = -7
5x = -7

Divide each side by '5'.
x = -1.4

Simplifying
x = -1.4
Solution
x = {-1.5, -1.4}

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