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

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


Simplifying
3x2 + 7x + -21 = 2x + 7

Reorder the terms:
-21 + 7x + 3x2 = 2x + 7

Reorder the terms:
-21 + 7x + 3x2 = 7 + 2x

Solving
-21 + 7x + 3x2 = 7 + 2x

Solving for variable 'x'.

Reorder the terms:
-21 + -7 + 7x + -2x + 3x2 = 7 + 2x + -7 + -2x

Combine like terms: -21 + -7 = -28
-28 + 7x + -2x + 3x2 = 7 + 2x + -7 + -2x

Combine like terms: 7x + -2x = 5x
-28 + 5x + 3x2 = 7 + 2x + -7 + -2x

Reorder the terms:
-28 + 5x + 3x2 = 7 + -7 + 2x + -2x

Combine like terms: 7 + -7 = 0
-28 + 5x + 3x2 = 0 + 2x + -2x
-28 + 5x + 3x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
-28 + 5x + 3x2 = 0

Factor a trinomial.
(-4 + -1x)(7 + -3x) = 0


Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(7 + -3x)' equal to zero and attempt to solve:

Simplifying
7 + -3x = 0

Solving
7 + -3x = 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 + -3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 0 + -7
-3x = 0 + -7

Combine like terms: 0 + -7 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333
Solution
x = {-4, 2.333333333}

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