4(x^2-2)+5=13

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Solution for 4(x^2-2)+5=13 equation: 


Simplifying
4(x2 + -2) + 5 = 13

Reorder the terms:
4(-2 + x2) + 5 = 13
(-2 * 4 + x2 * 4) + 5 = 13
(-8 + 4x2) + 5 = 13

Reorder the terms:
-8 + 5 + 4x2 = 13

Combine like terms: -8 + 5 = -3
-3 + 4x2 = 13

Solving
-3 + 4x2 = 13

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 4x2 = 13 + 3

Combine like terms: -3 + 3 = 0
0 + 4x2 = 13 + 3
4x2 = 13 + 3

Combine like terms: 13 + 3 = 16
4x2 = 16

Divide each side by '4'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

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