5x(6-6x)=49

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Solution for 5x(6-6x)=49 equation:


Simplifying
5x(6 + -6x) = 49
(6 * 5x + -6x * 5x) = 49
(30x + -30x2) = 49

Solving
30x + -30x2 = 49

Solving for variable 'x'.

Reorder the terms:
-49 + 30x + -30x2 = 49 + -49

Combine like terms: 49 + -49 = 0
-49 + 30x + -30x2 = 0

Begin completing the square.  Divide all terms by
-30 the coefficient of the squared term: 

Divide each side by '-30'.
1.633333333 + -1x + x2 = 0.0

Move the constant term to the right:

Add '-1.633333333' to each side of the equation.
1.633333333 + -1x + -1.633333333 + x2 = 0.0 + -1.633333333

Reorder the terms:
1.633333333 + -1.633333333 + -1x + x2 = 0.0 + -1.633333333

Combine like terms: 1.633333333 + -1.633333333 = 0.000000000
0.000000000 + -1x + x2 = 0.0 + -1.633333333
-1x + x2 = 0.0 + -1.633333333

Combine like terms: 0.0 + -1.633333333 = -1.633333333
-1x + x2 = -1.633333333

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -1.633333333 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -1.633333333 + 0.25

Combine like terms: -1.633333333 + 0.25 = -1.383333333
0.25 + -1x + x2 = -1.383333333

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -1.383333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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