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

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


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

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

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

Reorder the terms:
15 + 5x2 + (-4 + 5x)(2x) = 0

Remove parenthesis around (2x)
15 + 5x2 + (-4 + 5x) * 2x = 0

Reorder the terms for easier multiplication:
15 + 5x2 + 2x(-4 + 5x) = 0
15 + 5x2 + (-4 * 2x + 5x * 2x) = 0
15 + 5x2 + (-8x + 10x2) = 0

Reorder the terms:
15 + -8x + 5x2 + 10x2 = 0

Combine like terms: 5x2 + 10x2 = 15x2
15 + -8x + 15x2 = 0

Solving
15 + -8x + 15x2 = 0

Solving for variable 'x'.

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

Divide each side by '15'.
1 + -0.5333333333x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.5333333333x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -0.5333333333x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.5333333333x + x2 = 0 + -1
-0.5333333333x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.5333333333x + x2 = -1

The x term is -0.5333333333x.  Take half its coefficient (-0.2666666667).
Square it (0.07111111113) and add it to both sides.

Add '0.07111111113' to each side of the equation.
-0.5333333333x + 0.07111111113 + x2 = -1 + 0.07111111113

Reorder the terms:
0.07111111113 + -0.5333333333x + x2 = -1 + 0.07111111113

Combine like terms: -1 + 0.07111111113 = -0.92888888887
0.07111111113 + -0.5333333333x + x2 = -0.92888888887

Factor a perfect square on the left side:
(x + -0.2666666667)(x + -0.2666666667) = -0.92888888887

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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