8x^2+21x+4=7x^2+9x-23

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Solution for 8x^2+21x+4=7x^2+9x-23 equation: 


Simplifying
8x2 + 21x + 4 = 7x2 + 9x + -23

Reorder the terms:
4 + 21x + 8x2 = 7x2 + 9x + -23

Reorder the terms:
4 + 21x + 8x2 = -23 + 9x + 7x2

Solving
4 + 21x + 8x2 = -23 + 9x + 7x2

Solving for variable 'x'.

Reorder the terms:
4 + 23 + 21x + -9x + 8x2 + -7x2 = -23 + 9x + 7x2 + 23 + -9x + -7x2

Combine like terms: 4 + 23 = 27
27 + 21x + -9x + 8x2 + -7x2 = -23 + 9x + 7x2 + 23 + -9x + -7x2

Combine like terms: 21x + -9x = 12x
27 + 12x + 8x2 + -7x2 = -23 + 9x + 7x2 + 23 + -9x + -7x2

Combine like terms: 8x2 + -7x2 = 1x2
27 + 12x + 1x2 = -23 + 9x + 7x2 + 23 + -9x + -7x2

Reorder the terms:
27 + 12x + 1x2 = -23 + 23 + 9x + -9x + 7x2 + -7x2

Combine like terms: -23 + 23 = 0
27 + 12x + 1x2 = 0 + 9x + -9x + 7x2 + -7x2
27 + 12x + 1x2 = 9x + -9x + 7x2 + -7x2

Combine like terms: 9x + -9x = 0
27 + 12x + 1x2 = 0 + 7x2 + -7x2
27 + 12x + 1x2 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
27 + 12x + 1x2 = 0

Factor a trinomial.
(9 + x)(3 + x) = 0


Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

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

Add '-9' to each side of the equation.
9 + -9 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Simplifying
x = -9

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

Simplifying
3 + x = 0

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

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

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

Simplifying
x = -3
Solution
x = {-9, -3}

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