21x^2-11=44x+21

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Solution for 21x^2-11=44x+21 equation: 


Simplifying
21x2 + -11 = 44x + 21

Reorder the terms:
-11 + 21x2 = 44x + 21

Reorder the terms:
-11 + 21x2 = 21 + 44x

Solving
-11 + 21x2 = 21 + 44x

Solving for variable 'x'.

Reorder the terms:
-11 + -21 + -44x + 21x2 = 21 + 44x + -21 + -44x

Combine like terms: -11 + -21 = -32
-32 + -44x + 21x2 = 21 + 44x + -21 + -44x

Reorder the terms:
-32 + -44x + 21x2 = 21 + -21 + 44x + -44x

Combine like terms: 21 + -21 = 0
-32 + -44x + 21x2 = 0 + 44x + -44x
-32 + -44x + 21x2 = 44x + -44x

Combine like terms: 44x + -44x = 0
-32 + -44x + 21x2 = 0

Factor a trinomial.
(-4 + -7x)(8 + -3x) = 0


Subproblem 1
Set the factor '(-4 + -7x)' equal to zero and attempt to solve:

Simplifying
-4 + -7x = 0

Solving
-4 + -7x = 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 + -7x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -7x = 0 + 4
-7x = 0 + 4

Combine like terms: 0 + 4 = 4
-7x = 4

Divide each side by '-7'.
x = -0.5714285714

Simplifying
x = -0.5714285714

Subproblem 2
Set the factor '(8 + -3x)' equal to zero and attempt to solve:

Simplifying
8 + -3x = 0

Solving
8 + -3x = 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 + -3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 0 + -8
-3x = 0 + -8

Combine like terms: 0 + -8 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667
Solution
x = {-0.5714285714, 2.666666667}

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