(5x-6)(2x-3)+(3x+5)(3x+5)=

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Solution for (5x-6)(2x-3)+(3x+5)(3x+5)= equation: 


Simplifying
(5x + -6)(2x + -3) + (3x + 5)(3x + 5) = 0

Reorder the terms:
(-6 + 5x)(2x + -3) + (3x + 5)(3x + 5) = 0

Reorder the terms:
(-6 + 5x)(-3 + 2x) + (3x + 5)(3x + 5) = 0

Multiply (-6 + 5x) * (-3 + 2x)
(-6(-3 + 2x) + 5x * (-3 + 2x)) + (3x + 5)(3x + 5) = 0
((-3 * -6 + 2x * -6) + 5x * (-3 + 2x)) + (3x + 5)(3x + 5) = 0
((18 + -12x) + 5x * (-3 + 2x)) + (3x + 5)(3x + 5) = 0
(18 + -12x + (-3 * 5x + 2x * 5x)) + (3x + 5)(3x + 5) = 0
(18 + -12x + (-15x + 10x2)) + (3x + 5)(3x + 5) = 0

Combine like terms: -12x + -15x = -27x
(18 + -27x + 10x2) + (3x + 5)(3x + 5) = 0

Reorder the terms:
18 + -27x + 10x2 + (5 + 3x)(3x + 5) = 0

Reorder the terms:
18 + -27x + 10x2 + (5 + 3x)(5 + 3x) = 0

Multiply (5 + 3x) * (5 + 3x)
18 + -27x + 10x2 + (5(5 + 3x) + 3x * (5 + 3x)) = 0
18 + -27x + 10x2 + ((5 * 5 + 3x * 5) + 3x * (5 + 3x)) = 0
18 + -27x + 10x2 + ((25 + 15x) + 3x * (5 + 3x)) = 0
18 + -27x + 10x2 + (25 + 15x + (5 * 3x + 3x * 3x)) = 0
18 + -27x + 10x2 + (25 + 15x + (15x + 9x2)) = 0

Combine like terms: 15x + 15x = 30x
18 + -27x + 10x2 + (25 + 30x + 9x2) = 0

Reorder the terms:
18 + 25 + -27x + 30x + 10x2 + 9x2 = 0

Combine like terms: 18 + 25 = 43
43 + -27x + 30x + 10x2 + 9x2 = 0

Combine like terms: -27x + 30x = 3x
43 + 3x + 10x2 + 9x2 = 0

Combine like terms: 10x2 + 9x2 = 19x2
43 + 3x + 19x2 = 0

Solving
43 + 3x + 19x2 = 0

Solving for variable 'x'.

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

Divide each side by '19'.
2.263157895 + 0.1578947368x + x2 = 0

Move the constant term to the right:

Add '-2.263157895' to each side of the equation.
2.263157895 + 0.1578947368x + -2.263157895 + x2 = 0 + -2.263157895

Reorder the terms:
2.263157895 + -2.263157895 + 0.1578947368x + x2 = 0 + -2.263157895

Combine like terms: 2.263157895 + -2.263157895 = 0.000000000
0.000000000 + 0.1578947368x + x2 = 0 + -2.263157895
0.1578947368x + x2 = 0 + -2.263157895

Combine like terms: 0 + -2.263157895 = -2.263157895
0.1578947368x + x2 = -2.263157895

The x term is 0.1578947368x.  Take half its coefficient (0.0789473684).
Square it (0.006232686977) and add it to both sides.

Add '0.006232686977' to each side of the equation.
0.1578947368x + 0.006232686977 + x2 = -2.263157895 + 0.006232686977

Reorder the terms:
0.006232686977 + 0.1578947368x + x2 = -2.263157895 + 0.006232686977

Combine like terms: -2.263157895 + 0.006232686977 = -2.256925208023
0.006232686977 + 0.1578947368x + x2 = -2.256925208023

Factor a perfect square on the left side:
(x + 0.0789473684)(x + 0.0789473684) = -2.256925208023

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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