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

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


Simplifying
x(2x + 6) = 2(x2 + -5)

Reorder the terms:
x(6 + 2x) = 2(x2 + -5)
(6 * x + 2x * x) = 2(x2 + -5)
(6x + 2x2) = 2(x2 + -5)

Reorder the terms:
6x + 2x2 = 2(-5 + x2)
6x + 2x2 = (-5 * 2 + x2 * 2)
6x + 2x2 = (-10 + 2x2)

Add '-2x2' to each side of the equation.
6x + 2x2 + -2x2 = -10 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
6x + 0 = -10 + 2x2 + -2x2
6x = -10 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
6x = -10 + 0
6x = -10

Solving
6x = -10

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '6'.
x = -1.666666667

Simplifying
x = -1.666666667

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