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Simplifying (4q + -2)(4q + -2) + -4(q3)(4q) = 0 Reorder the terms: (-2 + 4q)(4q + -2) + -4(q3)(4q) = 0 Reorder the terms: (-2 + 4q)(-2 + 4q) + -4(q3)(4q) = 0 Multiply (-2 + 4q) * (-2 + 4q) (-2(-2 + 4q) + 4q * (-2 + 4q)) + -4(q3)(4q) = 0 ((-2 * -2 + 4q * -2) + 4q * (-2 + 4q)) + -4(q3)(4q) = 0 ((4 + -8q) + 4q * (-2 + 4q)) + -4(q3)(4q) = 0 (4 + -8q + (-2 * 4q + 4q * 4q)) + -4(q3)(4q) = 0 (4 + -8q + (-8q + 16q2)) + -4(q3)(4q) = 0 Combine like terms: -8q + -8q = -16q (4 + -16q + 16q2) + -4(q3)(4q) = 0 Remove parenthesis around (4q) 4 + -16q + 16q2 + -4q3 * 4q = 0 Reorder the terms for easier multiplication: 4 + -16q + 16q2 + -4 * 4q3 * q = 0 Multiply -4 * 4 4 + -16q + 16q2 + -16q3 * q = 0 Multiply q3 * q 4 + -16q + 16q2 + -16q4 = 0 Solving 4 + -16q + 16q2 + -16q4 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '4'. 4(1 + -4q + 4q2 + -4q4) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + -4q + 4q2 + -4q4)' equal to zero and attempt to solve: Simplifying 1 + -4q + 4q2 + -4q4 = 0 Solving 1 + -4q + 4q2 + -4q4 = 0 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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