2(4x^2-5)-[4(4x^2-1)+6]=

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Solution for 2(4x^2-5)-[4(4x^2-1)+6]= equation:


Simplifying
2(4x2 + -5) + -1[4(4x2 + -1) + 6] = 0

Reorder the terms:
2(-5 + 4x2) + -1[4(4x2 + -1) + 6] = 0
(-5 * 2 + 4x2 * 2) + -1[4(4x2 + -1) + 6] = 0
(-10 + 8x2) + -1[4(4x2 + -1) + 6] = 0

Reorder the terms:
-10 + 8x2 + -1[4(-1 + 4x2) + 6] = 0
-10 + 8x2 + -1[(-1 * 4 + 4x2 * 4) + 6] = 0
-10 + 8x2 + -1[(-4 + 16x2) + 6] = 0

Reorder the terms:
-10 + 8x2 + -1[-4 + 6 + 16x2] = 0

Combine like terms: -4 + 6 = 2
-10 + 8x2 + -1[2 + 16x2] = 0
-10 + 8x2 + [2 * -1 + 16x2 * -1] = 0
-10 + 8x2 + [-2 + -16x2] = 0

Reorder the terms:
-10 + -2 + 8x2 + -16x2 = 0

Combine like terms: -10 + -2 = -12
-12 + 8x2 + -16x2 = 0

Combine like terms: 8x2 + -16x2 = -8x2
-12 + -8x2 = 0

Solving
-12 + -8x2 = 0

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + -8x2 = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -8x2 = 0 + 12
-8x2 = 0 + 12

Combine like terms: 0 + 12 = 12
-8x2 = 12

Divide each side by '-8'.
x2 = -1.5

Simplifying
x2 = -1.5

Reorder the terms:
1.5 + x2 = -1.5 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
1.5 + x2 = 0.0

The solution to this equation could not be determined.

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