16x^4+11=92

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Solution for 16x^4+11=92 equation:


Simplifying
16x4 + 11 = 92

Reorder the terms:
11 + 16x4 = 92

Solving
11 + 16x4 = 92

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + 16x4 = 92 + -11

Combine like terms: 11 + -11 = 0
0 + 16x4 = 92 + -11
16x4 = 92 + -11

Combine like terms: 92 + -11 = 81
16x4 = 81

Divide each side by '16'.
x4 = 5.0625

Simplifying
x4 = 5.0625

Reorder the terms:
-5.0625 + x4 = 5.0625 + -5.0625

Combine like terms: 5.0625 + -5.0625 = 0.0000
-5.0625 + x4 = 0.0000

Factor a difference between two squares.
(2.25 + x2)(-2.25 + x2) = 0.0000

Factor a difference between two squares.
(2.25 + x2)((1.5 + x)(-1.5 + x)) = 0.0000

Subproblem 1

Set the factor '(2.25 + x2)' equal to zero and attempt to solve: Simplifying 2.25 + x2 = 0 Solving 2.25 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + x2 = 0 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + x2 = 0 + -2.25 x2 = 0 + -2.25 Combine like terms: 0 + -2.25 = -2.25 x2 = -2.25 Simplifying x2 = -2.25 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(1.5 + x)' equal to zero and attempt to solve: Simplifying 1.5 + x = 0 Solving 1.5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + x = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + x = 0 + -1.5 x = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 x = -1.5 Simplifying x = -1.5

Subproblem 3

Set the factor '(-1.5 + x)' equal to zero and attempt to solve: Simplifying -1.5 + x = 0 Solving -1.5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = 0 + 1.5 x = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 x = 1.5 Simplifying x = 1.5

Solution

x = {-1.5, 1.5}

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