4(x+5)+7=-3x(x-2)

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Solution for 4(x+5)+7=-3x(x-2) equation: 


Simplifying
4(x + 5) + 7 = -3x(x + -2)

Reorder the terms:
4(5 + x) + 7 = -3x(x + -2)
(5 * 4 + x * 4) + 7 = -3x(x + -2)
(20 + 4x) + 7 = -3x(x + -2)

Reorder the terms:
20 + 7 + 4x = -3x(x + -2)

Combine like terms: 20 + 7 = 27
27 + 4x = -3x(x + -2)

Reorder the terms:
27 + 4x = -3x(-2 + x)
27 + 4x = (-2 * -3x + x * -3x)
27 + 4x = (6x + -3x2)

Solving
27 + 4x = 6x + -3x2

Solving for variable 'x'.

Combine like terms: 4x + -6x = -2x
27 + -2x + 3x2 = 6x + -3x2 + -6x + 3x2

Reorder the terms:
27 + -2x + 3x2 = 6x + -6x + -3x2 + 3x2

Combine like terms: 6x + -6x = 0
27 + -2x + 3x2 = 0 + -3x2 + 3x2
27 + -2x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
27 + -2x + 3x2 = 0

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

Divide each side by '3'.
9 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-9' to each side of the equation.
9 + -0.6666666667x + -9 + x2 = 0 + -9

Reorder the terms:
9 + -9 + -0.6666666667x + x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -0.6666666667x + x2 = 0 + -9
-0.6666666667x + x2 = 0 + -9

Combine like terms: 0 + -9 = -9
-0.6666666667x + x2 = -9

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = -9 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -9 + 0.1111111112

Combine like terms: -9 + 0.1111111112 = -8.8888888888
0.1111111112 + -0.6666666667x + x2 = -8.8888888888

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -8.8888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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