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

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

Simplifying
-4x2 + -10 = -2(5 + -1x2)

Reorder the terms:
-10 + -4x2 = -2(5 + -1x2)
-10 + -4x2 = (5 * -2 + -1x2 * -2)
-10 + -4x2 = (-10 + 2x2)

Add '10' to each side of the equation.
-10 + 10 + -4x2 = -10 + 10 + 2x2

Combine like terms: -10 + 10 = 0
0 + -4x2 = -10 + 10 + 2x2
-4x2 = -10 + 10 + 2x2

Combine like terms: -10 + 10 = 0
-4x2 = 0 + 2x2
-4x2 = 2x2

Solving
-4x2 = 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
-4x2 + -2x2 = 2x2 + -2x2

Combine like terms: -4x2 + -2x2 = -6x2
-6x2 = 2x2 + -2x2

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

Divide each side by '-6'.
x2 = 0

Simplifying
x2 = 0

Take the square root of each side:
x = {0}