16x^2-24-[4(x^2-1)+8]=

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Solution for 16x^2-24-[4(x^2-1)+8]= equation:


Simplifying
16x2 + -24 + -1[4(x2 + -1) + 8] = 0

Reorder the terms:
16x2 + -24 + -1[4(-1 + x2) + 8] = 0
16x2 + -24 + -1[(-1 * 4 + x2 * 4) + 8] = 0
16x2 + -24 + -1[(-4 + 4x2) + 8] = 0

Reorder the terms:
16x2 + -24 + -1[-4 + 8 + 4x2] = 0

Combine like terms: -4 + 8 = 4
16x2 + -24 + -1[4 + 4x2] = 0
16x2 + -24 + [4 * -1 + 4x2 * -1] = 0
16x2 + -24 + [-4 + -4x2] = 0

Reorder the terms:
-24 + -4 + 16x2 + -4x2 = 0

Combine like terms: -24 + -4 = -28
-28 + 16x2 + -4x2 = 0

Combine like terms: 16x2 + -4x2 = 12x2
-28 + 12x2 = 0

Solving
-28 + 12x2 = 0

Solving for variable 'x'.

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

Add '28' to each side of the equation.
-28 + 28 + 12x2 = 0 + 28

Combine like terms: -28 + 28 = 0
0 + 12x2 = 0 + 28
12x2 = 0 + 28

Combine like terms: 0 + 28 = 28
12x2 = 28

Divide each side by '12'.
x2 = 2.333333333

Simplifying
x2 = 2.333333333

Take the square root of each side:
x = {-1.527525232, 1.527525232}

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