2x^2+4x-21=19-7x

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Solution for 2x^2+4x-21=19-7x equation: 


Simplifying
2x2 + 4x + -21 = 19 + -7x

Reorder the terms:
-21 + 4x + 2x2 = 19 + -7x

Solving
-21 + 4x + 2x2 = 19 + -7x

Solving for variable 'x'.

Reorder the terms:
-21 + -19 + 4x + 7x + 2x2 = 19 + -7x + -19 + 7x

Combine like terms: -21 + -19 = -40
-40 + 4x + 7x + 2x2 = 19 + -7x + -19 + 7x

Combine like terms: 4x + 7x = 11x
-40 + 11x + 2x2 = 19 + -7x + -19 + 7x

Reorder the terms:
-40 + 11x + 2x2 = 19 + -19 + -7x + 7x

Combine like terms: 19 + -19 = 0
-40 + 11x + 2x2 = 0 + -7x + 7x
-40 + 11x + 2x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
-40 + 11x + 2x2 = 0

Factor a trinomial.
(-8 + -1x)(5 + -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 '(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
Solution
x = {-8, 2.5}

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