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Simplifying 5q2 + 3t2q2 + 7tq2 = 0 Reorder the terms: 5q2 + 7q2t + 3q2t2 = 0 Solving 5q2 + 7q2t + 3q2t2 = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'q2'. q2(5 + 7t + 3t2) = 0Subproblem 1
Set the factor 'q2' equal to zero and attempt to solve: Simplifying q2 = 0 Solving q2 = 0 Move all terms containing q to the left, all other terms to the right. Simplifying q2 = 0 Take the square root of each side: q = {0}Subproblem 2
Set the factor '(5 + 7t + 3t2)' equal to zero and attempt to solve: Simplifying 5 + 7t + 3t2 = 0 Solving 5 + 7t + 3t2 = 0 Move all terms containing q to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 7t + -5 + 3t2 = 0 + -5 Reorder the terms: 5 + -5 + 7t + 3t2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7t + 3t2 = 0 + -5 7t + 3t2 = 0 + -5 Combine like terms: 0 + -5 = -5 7t + 3t2 = -5 Add '-7t' to each side of the equation. 7t + -7t + 3t2 = -5 + -7t Combine like terms: 7t + -7t = 0 0 + 3t2 = -5 + -7t 3t2 = -5 + -7t Add '-3t2' to each side of the equation. 3t2 + -3t2 = -5 + -7t + -3t2 Combine like terms: 3t2 + -3t2 = 0 0 = -5 + -7t + -3t2 Simplifying 0 = -5 + -7t + -3t2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
q = {0}
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