3x+7=4x(-3x)

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Solution for 3x+7=4x(-3x) equation: 


Simplifying
3x + 7 = 4x(-3x)

Reorder the terms:
7 + 3x = 4x(-3x)

Remove parenthesis around (-3x)
7 + 3x = 4x * -3x

Reorder the terms for easier multiplication:
7 + 3x = 4 * -3x * x

Multiply 4 * -3
7 + 3x = -12x * x

Multiply x * x
7 + 3x = -12x2

Solving
7 + 3x = -12x2

Solving for variable 'x'.

Combine like terms: -12x2 + 12x2 = 0
7 + 3x + 12x2 = 0

Begin completing the square.  Divide all terms by
12 the coefficient of the squared term: 

Divide each side by '12'.
0.5833333333 + 0.25x + x2 = 0

Move the constant term to the right:

Add '-0.5833333333' to each side of the equation.
0.5833333333 + 0.25x + -0.5833333333 + x2 = 0 + -0.5833333333

Reorder the terms:
0.5833333333 + -0.5833333333 + 0.25x + x2 = 0 + -0.5833333333

Combine like terms: 0.5833333333 + -0.5833333333 = 0.0000000000
0.0000000000 + 0.25x + x2 = 0 + -0.5833333333
0.25x + x2 = 0 + -0.5833333333

Combine like terms: 0 + -0.5833333333 = -0.5833333333
0.25x + x2 = -0.5833333333

The x term is 0.25x.  Take half its coefficient (0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
0.25x + 0.015625 + x2 = -0.5833333333 + 0.015625

Reorder the terms:
0.015625 + 0.25x + x2 = -0.5833333333 + 0.015625

Combine like terms: -0.5833333333 + 0.015625 = -0.5677083333
0.015625 + 0.25x + x2 = -0.5677083333

Factor a perfect square on the left side:
(x + 0.125)(x + 0.125) = -0.5677083333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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