3x(5x+4)=9x-26

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Solution for 3x(5x+4)=9x-26 equation: 


Simplifying
3x(5x + 4) = 9x + -26

Reorder the terms:
3x(4 + 5x) = 9x + -26
(4 * 3x + 5x * 3x) = 9x + -26
(12x + 15x2) = 9x + -26

Reorder the terms:
12x + 15x2 = -26 + 9x

Solving
12x + 15x2 = -26 + 9x

Solving for variable 'x'.

Reorder the terms:
26 + 12x + -9x + 15x2 = -26 + 9x + 26 + -9x

Combine like terms: 12x + -9x = 3x
26 + 3x + 15x2 = -26 + 9x + 26 + -9x

Reorder the terms:
26 + 3x + 15x2 = -26 + 26 + 9x + -9x

Combine like terms: -26 + 26 = 0
26 + 3x + 15x2 = 0 + 9x + -9x
26 + 3x + 15x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
26 + 3x + 15x2 = 0

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

Divide each side by '15'.
1.733333333 + 0.2x + x2 = 0

Move the constant term to the right:

Add '-1.733333333' to each side of the equation.
1.733333333 + 0.2x + -1.733333333 + x2 = 0 + -1.733333333

Reorder the terms:
1.733333333 + -1.733333333 + 0.2x + x2 = 0 + -1.733333333

Combine like terms: 1.733333333 + -1.733333333 = 0.000000000
0.000000000 + 0.2x + x2 = 0 + -1.733333333
0.2x + x2 = 0 + -1.733333333

Combine like terms: 0 + -1.733333333 = -1.733333333
0.2x + x2 = -1.733333333

The x term is 0.2x.  Take half its coefficient (0.1).
Square it (0.01) and add it to both sides.

Add '0.01' to each side of the equation.
0.2x + 0.01 + x2 = -1.733333333 + 0.01

Reorder the terms:
0.01 + 0.2x + x2 = -1.733333333 + 0.01

Combine like terms: -1.733333333 + 0.01 = -1.723333333
0.01 + 0.2x + x2 = -1.723333333

Factor a perfect square on the left side:
(x + 0.1)(x + 0.1) = -1.723333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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