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Simplifying 3c * 5a * 2a + 8 = 0 Reorder the terms for easier multiplication: 3 * 5 * 2c * a * a + 8 = 0 Multiply 3 * 5 15 * 2c * a * a + 8 = 0 Multiply 15 * 2 30c * a * a + 8 = 0 Multiply c * a 30ac * a + 8 = 0 Multiply ac * a 30a2c + 8 = 0 Reorder the terms: 8 + 30a2c = 0 Solving 8 + 30a2c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 30a2c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 30a2c = 0 + -8 30a2c = 0 + -8 Combine like terms: 0 + -8 = -8 30a2c = -8 Divide each side by '30c'. a2 = -0.2666666667c-1 Simplifying a2 = -0.2666666667c-1 Combine like terms: -0.2666666667c-1 + 0.2666666667c-1 = 0.0000000000 a2 + 0.2666666667c-1 = 0.0000000000 Factor out the Greatest Common Factor (GCF), 'c-1'. c-1(a2c + 0.2666666667) = 0.0000000000Subproblem 1
Set the factor 'c-1' equal to zero and attempt to solve: Simplifying c-1 = 0 Solving c-1 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1c-1' to each side of the equation. c-1 + -1c-1 = 0 + -1c-1 Remove the zero: 0 = -1c-1 Simplifying 0 = -1c-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 '(a2c + 0.2666666667)' equal to zero and attempt to solve: Simplifying a2c + 0.2666666667 = 0 Reorder the terms: 0.2666666667 + a2c = 0 Solving 0.2666666667 + a2c = 0 Move all terms containing a to the left, all other terms to the right. Add '-0.2666666667' to each side of the equation. 0.2666666667 + -0.2666666667 + a2c = 0 + -0.2666666667 Combine like terms: 0.2666666667 + -0.2666666667 = 0.0000000000 0.0000000000 + a2c = 0 + -0.2666666667 a2c = 0 + -0.2666666667 Combine like terms: 0 + -0.2666666667 = -0.2666666667 a2c = -0.2666666667 Divide each side by 'c'. a2 = -0.2666666667c-1 Simplifying a2 = -0.2666666667c-1 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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