8(8x^2-5)-[5(2x^2-1)+3]=

Solution for 8(8x^2-5)-[5(2x^2-1)+3]= equation:

Simplifying
8(8x2 + -5) + -1[5(2x2 + -1) + 3] = 0

Reorder the terms:
8(-5 + 8x2) + -1[5(2x2 + -1) + 3] = 0
(-5 * 8 + 8x2 * 8) + -1[5(2x2 + -1) + 3] = 0
(-40 + 64x2) + -1[5(2x2 + -1) + 3] = 0

Reorder the terms:
-40 + 64x2 + -1[5(-1 + 2x2) + 3] = 0
-40 + 64x2 + -1[(-1 * 5 + 2x2 * 5) + 3] = 0
-40 + 64x2 + -1[(-5 + 10x2) + 3] = 0

Reorder the terms:
-40 + 64x2 + -1[-5 + 3 + 10x2] = 0

Combine like terms: -5 + 3 = -2
-40 + 64x2 + -1[-2 + 10x2] = 0
-40 + 64x2 + [-2 * -1 + 10x2 * -1] = 0
-40 + 64x2 + [2 + -10x2] = 0

Reorder the terms:
-40 + 2 + 64x2 + -10x2 = 0

Combine like terms: -40 + 2 = -38
-38 + 64x2 + -10x2 = 0

Combine like terms: 64x2 + -10x2 = 54x2
-38 + 54x2 = 0

Solving
-38 + 54x2 = 0

Solving for variable 'x'.

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

Add '38' to each side of the equation.
-38 + 38 + 54x2 = 0 + 38

Combine like terms: -38 + 38 = 0
0 + 54x2 = 0 + 38
54x2 = 0 + 38

Combine like terms: 0 + 38 = 38
54x2 = 38

Divide each side by '54'.
x2 = 0.7037037037

Simplifying
x2 = 0.7037037037

Take the square root of each side:
x = {-0.838870493, 0.838870493}