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Simplifying product(7 + -24i)(7 + 24i) = 0 Multiply (7 + -24i) * (7 + 24i) cdoprtu(7(7 + 24i) + -24i * (7 + 24i)) = 0 cdoprtu((7 * 7 + 24i * 7) + -24i * (7 + 24i)) = 0 cdoprtu((49 + 168i) + -24i * (7 + 24i)) = 0 cdoprtu(49 + 168i + (7 * -24i + 24i * -24i)) = 0 cdoprtu(49 + 168i + (-168i + -576i2)) = 0 Combine like terms: 168i + -168i = 0 cdoprtu(49 + 0 + -576i2) = 0 cdoprtu(49 + -576i2) = 0 (49 * cdoprtu + -576i2 * cdoprtu) = 0 Reorder the terms: (-576cdi2oprtu + 49cdoprtu) = 0 (-576cdi2oprtu + 49cdoprtu) = 0 Solving -576cdi2oprtu + 49cdoprtu = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'cdoprtu'. cdoprtu(-576i2 + 49) = 0 Factor a difference between two squares. cdoprtu((24i + 7)(-24i + 7)) = 0Subproblem 1
Set the factor 'cdoprtu' equal to zero and attempt to solve: Simplifying cdoprtu = 0 Solving cdoprtu = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cdoprtu = 0 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 '(24i + 7)' equal to zero and attempt to solve: Simplifying 24i + 7 = 0 Reorder the terms: 7 + 24i = 0 Solving 7 + 24i = 0 Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 24i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 24i = 0 + -7 24i = 0 + -7 Combine like terms: 0 + -7 = -7 24i = -7 Add '-24i' to each side of the equation. 24i + -24i = -7 + -24i Combine like terms: 24i + -24i = 0 0 = -7 + -24i Simplifying 0 = -7 + -24i The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-24i + 7)' equal to zero and attempt to solve: Simplifying -24i + 7 = 0 Reorder the terms: 7 + -24i = 0 Solving 7 + -24i = 0 Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -24i = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -24i = 0 + -7 -24i = 0 + -7 Combine like terms: 0 + -7 = -7 -24i = -7 Add '24i' to each side of the equation. -24i + 24i = -7 + 24i Combine like terms: -24i + 24i = 0 0 = -7 + 24i Simplifying 0 = -7 + 24i 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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