x(3x)+4y-47=0

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Solution for x(3x)+4y-47=0 equation:


Simplifying
x(3x) + 4y + -47 = 0

Remove parenthesis around (3x)
x * 3x + 4y + -47 = 0

Reorder the terms for easier multiplication:
3x * x + 4y + -47 = 0

Multiply x * x
3x2 + 4y + -47 = 0

Reorder the terms:
-47 + 3x2 + 4y = 0

Solving
-47 + 3x2 + 4y = 0

Solving for variable 'x'.

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

Add '47' to each side of the equation.
-47 + 3x2 + 47 + 4y = 0 + 47

Reorder the terms:
-47 + 47 + 3x2 + 4y = 0 + 47

Combine like terms: -47 + 47 = 0
0 + 3x2 + 4y = 0 + 47
3x2 + 4y = 0 + 47

Combine like terms: 0 + 47 = 47
3x2 + 4y = 47

Add '-4y' to each side of the equation.
3x2 + 4y + -4y = 47 + -4y

Combine like terms: 4y + -4y = 0
3x2 + 0 = 47 + -4y
3x2 = 47 + -4y

Divide each side by '3'.
x2 = 15.66666667 + -1.333333333y

Simplifying
x2 = 15.66666667 + -1.333333333y

Reorder the terms:
-15.66666667 + x2 + 1.333333333y = 15.66666667 + -1.333333333y + -15.66666667 + 1.333333333y

Reorder the terms:
-15.66666667 + x2 + 1.333333333y = 15.66666667 + -15.66666667 + -1.333333333y + 1.333333333y

Combine like terms: 15.66666667 + -15.66666667 = 0.00000000
-15.66666667 + x2 + 1.333333333y = 0.00000000 + -1.333333333y + 1.333333333y
-15.66666667 + x2 + 1.333333333y = -1.333333333y + 1.333333333y

Combine like terms: -1.333333333y + 1.333333333y = 0.000000000
-15.66666667 + x2 + 1.333333333y = 0.000000000

The solution to this equation could not be determined.

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