(5x^2+4)(3)+(3x-2)(10x)=

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Solution for (5x^2+4)(3)+(3x-2)(10x)= equation:


Simplifying
(5x2 + 4)(3) + (3x + -2)(10x) = 0

Reorder the terms:
(4 + 5x2)(3) + (3x + -2)(10x) = 0

Reorder the terms for easier multiplication:
3(4 + 5x2) + (3x + -2)(10x) = 0
(4 * 3 + 5x2 * 3) + (3x + -2)(10x) = 0
(12 + 15x2) + (3x + -2)(10x) = 0

Reorder the terms:
12 + 15x2 + (-2 + 3x)(10x) = 0

Remove parenthesis around (10x)
12 + 15x2 + (-2 + 3x) * 10x = 0

Reorder the terms for easier multiplication:
12 + 15x2 + 10x(-2 + 3x) = 0
12 + 15x2 + (-2 * 10x + 3x * 10x) = 0
12 + 15x2 + (-20x + 30x2) = 0

Reorder the terms:
12 + -20x + 15x2 + 30x2 = 0

Combine like terms: 15x2 + 30x2 = 45x2
12 + -20x + 45x2 = 0

Solving
12 + -20x + 45x2 = 0

Solving for variable 'x'.

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

Divide each side by '45'.
0.2666666667 + -0.4444444444x + x2 = 0

Move the constant term to the right:

Add '-0.2666666667' to each side of the equation.
0.2666666667 + -0.4444444444x + -0.2666666667 + x2 = 0 + -0.2666666667

Reorder the terms:
0.2666666667 + -0.2666666667 + -0.4444444444x + x2 = 0 + -0.2666666667

Combine like terms: 0.2666666667 + -0.2666666667 = 0.0000000000
0.0000000000 + -0.4444444444x + x2 = 0 + -0.2666666667
-0.4444444444x + x2 = 0 + -0.2666666667

Combine like terms: 0 + -0.2666666667 = -0.2666666667
-0.4444444444x + x2 = -0.2666666667

The x term is -0.4444444444x.  Take half its coefficient (-0.2222222222).
Square it (0.04938271604) and add it to both sides.

Add '0.04938271604' to each side of the equation.
-0.4444444444x + 0.04938271604 + x2 = -0.2666666667 + 0.04938271604

Reorder the terms:
0.04938271604 + -0.4444444444x + x2 = -0.2666666667 + 0.04938271604

Combine like terms: -0.2666666667 + 0.04938271604 = -0.21728395066
0.04938271604 + -0.4444444444x + x2 = -0.21728395066

Factor a perfect square on the left side:
(x + -0.2222222222)(x + -0.2222222222) = -0.21728395066

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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