2x(3-5x)7=47

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Solution for 2x(3-5x)7=47 equation:


Simplifying
2x(3 + -5x) * 7 = 47

Reorder the terms for easier multiplication:
2 * 7x(3 + -5x) = 47

Multiply 2 * 7
14x(3 + -5x) = 47
(3 * 14x + -5x * 14x) = 47
(42x + -70x2) = 47

Solving
42x + -70x2 = 47

Solving for variable 'x'.

Reorder the terms:
-47 + 42x + -70x2 = 47 + -47

Combine like terms: 47 + -47 = 0
-47 + 42x + -70x2 = 0

Begin completing the square.  Divide all terms by
-70 the coefficient of the squared term: 

Divide each side by '-70'.
0.6714285714 + -0.6x + x2 = 0.0

Move the constant term to the right:

Add '-0.6714285714' to each side of the equation.
0.6714285714 + -0.6x + -0.6714285714 + x2 = 0.0 + -0.6714285714

Reorder the terms:
0.6714285714 + -0.6714285714 + -0.6x + x2 = 0.0 + -0.6714285714

Combine like terms: 0.6714285714 + -0.6714285714 = 0.0000000000
0.0000000000 + -0.6x + x2 = 0.0 + -0.6714285714
-0.6x + x2 = 0.0 + -0.6714285714

Combine like terms: 0.0 + -0.6714285714 = -0.6714285714
-0.6x + x2 = -0.6714285714

The x term is -0.6x.  Take half its coefficient (-0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
-0.6x + 0.09 + x2 = -0.6714285714 + 0.09

Reorder the terms:
0.09 + -0.6x + x2 = -0.6714285714 + 0.09

Combine like terms: -0.6714285714 + 0.09 = -0.5814285714
0.09 + -0.6x + x2 = -0.5814285714

Factor a perfect square on the left side:
(x + -0.3)(x + -0.3) = -0.5814285714

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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