0=21+58x+21x^2

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Solution for 0=21+58x+21x^2 equation: 


Simplifying
0 = 21 + 58x + 21x2

Solving
0 = 21 + 58x + 21x2

Solving for variable 'x'.

Combine like terms: 0 + -21 = -21
-21 + -58x + -21x2 = 21 + 58x + 21x2 + -21 + -58x + -21x2

Reorder the terms:
-21 + -58x + -21x2 = 21 + -21 + 58x + -58x + 21x2 + -21x2

Combine like terms: 21 + -21 = 0
-21 + -58x + -21x2 = 0 + 58x + -58x + 21x2 + -21x2
-21 + -58x + -21x2 = 58x + -58x + 21x2 + -21x2

Combine like terms: 58x + -58x = 0
-21 + -58x + -21x2 = 0 + 21x2 + -21x2
-21 + -58x + -21x2 = 21x2 + -21x2

Combine like terms: 21x2 + -21x2 = 0
-21 + -58x + -21x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(21 + 58x + 21x2) = 0

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

Ignore the factor -1.

Subproblem 1
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

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

Simplifying
3 + 7x = 0

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

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

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

Divide each side by '7'.
x = -0.4285714286

Simplifying
x = -0.4285714286
Solution
x = {-2.333333333, -0.4285714286}

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