X^2+7X=21+3X

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Solution for X^2+7X=21+3X equation: 


Simplifying
X2 + 7X = 21 + 3X

Reorder the terms:
7X + X2 = 21 + 3X

Solving
7X + X2 = 21 + 3X

Solving for variable 'X'.

Reorder the terms:
-21 + 7X + -3X + X2 = 21 + 3X + -21 + -3X

Combine like terms: 7X + -3X = 4X
-21 + 4X + X2 = 21 + 3X + -21 + -3X

Reorder the terms:
-21 + 4X + X2 = 21 + -21 + 3X + -3X

Combine like terms: 21 + -21 = 0
-21 + 4X + X2 = 0 + 3X + -3X
-21 + 4X + X2 = 3X + -3X

Combine like terms: 3X + -3X = 0
-21 + 4X + X2 = 0

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


Subproblem 1
Set the factor '(-7 + -1X)' equal to zero and attempt to solve:

Simplifying
-7 + -1X = 0

Solving
-7 + -1X = 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 + -1X = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1X = 0 + 7
-1X = 0 + 7

Combine like terms: 0 + 7 = 7
-1X = 7

Divide each side by '-1'.
X = -7

Simplifying
X = -7

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

Simplifying
3 + -1X = 0

Solving
3 + -1X = 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 + -1X = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1X = 0 + -3
-1X = 0 + -3

Combine like terms: 0 + -3 = -3
-1X = -3

Divide each side by '-1'.
X = 3

Simplifying
X = 3
Solution
X = {-7, 3}

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