(7+3x)*3x=4x^2

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Solution for (7+3x)*3x=4x^2 equation: 


Simplifying
(7 + 3x) * 3x = 4x2

Reorder the terms for easier multiplication:
3x(7 + 3x) = 4x2
(7 * 3x + 3x * 3x) = 4x2
(21x + 9x2) = 4x2

Solving
21x + 9x2 = 4x2

Solving for variable 'x'.

Combine like terms: 9x2 + -4x2 = 5x2
21x + 5x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
21x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(21 + 5x) = 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 '(21 + 5x)' equal to zero and attempt to solve:

Simplifying
21 + 5x = 0

Solving
21 + 5x = 0

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

Add '-21' to each side of the equation.
21 + -21 + 5x = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 5x = 0 + -21
5x = 0 + -21

Combine like terms: 0 + -21 = -21
5x = -21

Divide each side by '5'.
x = -4.2

Simplifying
x = -4.2
Solution
x = {0, -4.2}

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