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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) = 0.00Subproblem 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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