2x(3+4x)=21x

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Solution for 2x(3+4x)=21x equation: 


Simplifying
2x(3 + 4x) = 21x
(3 * 2x + 4x * 2x) = 21x
(6x + 8x2) = 21x

Solving
6x + 8x2 = 21x

Solving for variable 'x'.

Reorder the terms:
6x + -21x + 8x2 = 21x + -21x

Combine like terms: 6x + -21x = -15x
-15x + 8x2 = 21x + -21x

Combine like terms: 21x + -21x = 0
-15x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-15 + 8x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-15 + 8x)' equal to zero and attempt to solve:

Simplifying
-15 + 8x = 0

Solving
-15 + 8x = 0

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

Add '15' to each side of the equation.
-15 + 15 + 8x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 8x = 0 + 15
8x = 0 + 15

Combine like terms: 0 + 15 = 15
8x = 15

Divide each side by '8'.
x = 1.875

Simplifying
x = 1.875
Solution
x = {0, 1.875}

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