6sq^2(3)+4=x

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Solution for 6sq^2(3)+4=x equation:


Simplifying
6sq2(3) + 4 = x

Reorder the terms for easier multiplication:
6 * 3q2s + 4 = x

Multiply 6 * 3
18q2s + 4 = x

Reorder the terms:
4 + 18q2s = x

Solving
4 + 18q2s = x

Solving for variable 'q'.

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

Add '-4' to each side of the equation.
4 + -4 + 18q2s = -4 + x

Combine like terms: 4 + -4 = 0
0 + 18q2s = -4 + x
18q2s = -4 + x

Divide each side by '18s'.
q2 = -0.2222222222s-1 + 0.05555555556s-1x

Simplifying
q2 = -0.2222222222s-1 + 0.05555555556s-1x

Reorder the terms:
q2 + 0.2222222222s-1 + -0.05555555556s-1x = -0.2222222222s-1 + 0.2222222222s-1 + 0.05555555556s-1x + -0.05555555556s-1x

Combine like terms: -0.2222222222s-1 + 0.2222222222s-1 = 0.0000000000
q2 + 0.2222222222s-1 + -0.05555555556s-1x = 0.0000000000 + 0.05555555556s-1x + -0.05555555556s-1x
q2 + 0.2222222222s-1 + -0.05555555556s-1x = 0.05555555556s-1x + -0.05555555556s-1x

Combine like terms: 0.05555555556s-1x + -0.05555555556s-1x = 0.00000000000
q2 + 0.2222222222s-1 + -0.05555555556s-1x = 0.00000000000

Factor out the Greatest Common Factor (GCF), 's-1'.
s-1(q2s + 0.2222222222 + -0.05555555556x) = 0.00000000000

Subproblem 1

Set the factor 's-1' equal to zero and attempt to solve: Simplifying s-1 = 0 Solving s-1 = 0 Move all terms containing q to the left, all other terms to the right. Add '-1s-1' to each side of the equation. s-1 + -1s-1 = 0 + -1s-1 Remove the zero: 0 = -1s-1 Simplifying 0 = -1s-1 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 '(q2s + 0.2222222222 + -0.05555555556x)' equal to zero and attempt to solve: Simplifying q2s + 0.2222222222 + -0.05555555556x = 0 Reorder the terms: 0.2222222222 + q2s + -0.05555555556x = 0 Solving 0.2222222222 + q2s + -0.05555555556x = 0 Move all terms containing q to the left, all other terms to the right. Add '-0.2222222222' to each side of the equation. 0.2222222222 + q2s + -0.2222222222 + -0.05555555556x = 0 + -0.2222222222 Reorder the terms: 0.2222222222 + -0.2222222222 + q2s + -0.05555555556x = 0 + -0.2222222222 Combine like terms: 0.2222222222 + -0.2222222222 = 0.0000000000 0.0000000000 + q2s + -0.05555555556x = 0 + -0.2222222222 q2s + -0.05555555556x = 0 + -0.2222222222 Combine like terms: 0 + -0.2222222222 = -0.2222222222 q2s + -0.05555555556x = -0.2222222222 Add '0.05555555556x' to each side of the equation. q2s + -0.05555555556x + 0.05555555556x = -0.2222222222 + 0.05555555556x Combine like terms: -0.05555555556x + 0.05555555556x = 0.00000000000 q2s + 0.00000000000 = -0.2222222222 + 0.05555555556x q2s = -0.2222222222 + 0.05555555556x Divide each side by 's'. q2 = -0.2222222222s-1 + 0.05555555556s-1x Simplifying q2 = -0.2222222222s-1 + 0.05555555556s-1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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