3x(5-4x)=92

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Solution for 3x(5-4x)=92 equation:


Simplifying
3x(5 + -4x) = 92
(5 * 3x + -4x * 3x) = 92
(15x + -12x2) = 92

Solving
15x + -12x2 = 92

Solving for variable 'x'.

Reorder the terms:
-92 + 15x + -12x2 = 92 + -92

Combine like terms: 92 + -92 = 0
-92 + 15x + -12x2 = 0

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

Divide each side by '-12'.
7.666666667 + -1.25x + x2 = 0

Move the constant term to the right:

Add '-7.666666667' to each side of the equation.
7.666666667 + -1.25x + -7.666666667 + x2 = 0 + -7.666666667

Reorder the terms:
7.666666667 + -7.666666667 + -1.25x + x2 = 0 + -7.666666667

Combine like terms: 7.666666667 + -7.666666667 = 0.000000000
0.000000000 + -1.25x + x2 = 0 + -7.666666667
-1.25x + x2 = 0 + -7.666666667

Combine like terms: 0 + -7.666666667 = -7.666666667
-1.25x + x2 = -7.666666667

The x term is -1.25x.  Take half its coefficient (-0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
-1.25x + 0.390625 + x2 = -7.666666667 + 0.390625

Reorder the terms:
0.390625 + -1.25x + x2 = -7.666666667 + 0.390625

Combine like terms: -7.666666667 + 0.390625 = -7.276041667
0.390625 + -1.25x + x2 = -7.276041667

Factor a perfect square on the left side:
(x + -0.625)(x + -0.625) = -7.276041667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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