49-64X^4=0

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Solution for 49-64X^4=0 equation:


Simplifying
49 + -64X4 = 0

Solving
49 + -64X4 = 0

Solving for variable 'X'.

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

Add '-49' to each side of the equation.
49 + -49 + -64X4 = 0 + -49

Combine like terms: 49 + -49 = 0
0 + -64X4 = 0 + -49
-64X4 = 0 + -49

Combine like terms: 0 + -49 = -49
-64X4 = -49

Divide each side by '-64'.
X4 = 0.765625

Simplifying
X4 = 0.765625

Reorder the terms:
-0.765625 + X4 = 0.765625 + -0.765625

Combine like terms: 0.765625 + -0.765625 = 0.000000
-0.765625 + X4 = 0.000000

Factor a difference between two squares.
(0.875 + X2)(-0.875 + X2) = 0.000000

Subproblem 1

Set the factor '(0.875 + X2)' equal to zero and attempt to solve: Simplifying 0.875 + X2 = 0 Solving 0.875 + X2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-0.875' to each side of the equation. 0.875 + -0.875 + X2 = 0 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + X2 = 0 + -0.875 X2 = 0 + -0.875 Combine like terms: 0 + -0.875 = -0.875 X2 = -0.875 Simplifying X2 = -0.875 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 '(-0.875 + X2)' equal to zero and attempt to solve: Simplifying -0.875 + X2 = 0 Solving -0.875 + X2 = 0 Move all terms containing X to the left, all other terms to the right. Add '0.875' to each side of the equation. -0.875 + 0.875 + X2 = 0 + 0.875 Combine like terms: -0.875 + 0.875 = 0.000 0.000 + X2 = 0 + 0.875 X2 = 0 + 0.875 Combine like terms: 0 + 0.875 = 0.875 X2 = 0.875 Simplifying X2 = 0.875 Take the square root of each side: X = {-0.935414347, 0.935414347}

Solution

X = {-0.935414347, 0.935414347}

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