2x^2+9x-3=21-4x

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Solution for 2x^2+9x-3=21-4x equation: 


Simplifying
2x2 + 9x + -3 = 21 + -4x

Reorder the terms:
-3 + 9x + 2x2 = 21 + -4x

Solving
-3 + 9x + 2x2 = 21 + -4x

Solving for variable 'x'.

Reorder the terms:
-3 + -21 + 9x + 4x + 2x2 = 21 + -4x + -21 + 4x

Combine like terms: -3 + -21 = -24
-24 + 9x + 4x + 2x2 = 21 + -4x + -21 + 4x

Combine like terms: 9x + 4x = 13x
-24 + 13x + 2x2 = 21 + -4x + -21 + 4x

Reorder the terms:
-24 + 13x + 2x2 = 21 + -21 + -4x + 4x

Combine like terms: 21 + -21 = 0
-24 + 13x + 2x2 = 0 + -4x + 4x
-24 + 13x + 2x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-24 + 13x + 2x2 = 0

Factor a trinomial.
(-8 + -1x)(3 + -2x) = 0


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
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
Solution
x = {-8, 1.5}

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