(0.3-3c^2)(0.3+3c^2)=

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Solution for (0.3-3c^2)(0.3+3c^2)= equation:


Simplifying
(0.3 + -3c2)(0.3 + 3c2) = 0

Multiply (0.3 + -3c2) * (0.3 + 3c2)
(0.3(0.3 + 3c2) + -3c2 * (0.3 + 3c2)) = 0
((0.3 * 0.3 + 3c2 * 0.3) + -3c2 * (0.3 + 3c2)) = 0
((0.09 + 0.9c2) + -3c2 * (0.3 + 3c2)) = 0
(0.09 + 0.9c2 + (0.3 * -3c2 + 3c2 * -3c2)) = 0
(0.09 + 0.9c2 + (-0.9c2 + -9c4)) = 0

Combine like terms: 0.9c2 + -0.9c2 = 0.0
(0.09 + 0.0 + -9c4) = 0
(0.09 + -9c4) = 0

Solving
0.09 + -9c4 = 0

Solving for variable 'c'.

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

Add '-0.09' to each side of the equation.
0.09 + -0.09 + -9c4 = 0 + -0.09

Combine like terms: 0.09 + -0.09 = 0.00
0.00 + -9c4 = 0 + -0.09
-9c4 = 0 + -0.09

Combine like terms: 0 + -0.09 = -0.09
-9c4 = -0.09

Divide each side by '-9'.
c4 = 0.01

Simplifying
c4 = 0.01

Reorder the terms:
-0.01 + c4 = 0.01 + -0.01

Combine like terms: 0.01 + -0.01 = 0.00
-0.01 + c4 = 0.00

Factor a difference between two squares.
(0.1 + c2)(-0.1 + c2) = 0.00

Subproblem 1

Set the factor '(0.1 + c2)' equal to zero and attempt to solve: Simplifying 0.1 + c2 = 0 Solving 0.1 + c2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-0.1' to each side of the equation. 0.1 + -0.1 + c2 = 0 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + c2 = 0 + -0.1 c2 = 0 + -0.1 Combine like terms: 0 + -0.1 = -0.1 c2 = -0.1 Simplifying c2 = -0.1 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 '(-0.1 + c2)' equal to zero and attempt to solve: Simplifying -0.1 + c2 = 0 Solving -0.1 + c2 = 0 Move all terms containing c to the left, all other terms to the right. Add '0.1' to each side of the equation. -0.1 + 0.1 + c2 = 0 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + c2 = 0 + 0.1 c2 = 0 + 0.1 Combine like terms: 0 + 0.1 = 0.1 c2 = 0.1 Simplifying c2 = 0.1 Take the square root of each side: c = {-0.316227766, 0.316227766}

Solution

c = {-0.316227766, 0.316227766}

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