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Simplifying 98q2 + 56q + 8 = 0 Reorder the terms: 8 + 56q + 98q2 = 0 Solving 8 + 56q + 98q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '2'. 2(4 + 28q + 49q2) = 0 Factor a trinomial. 2((2 + 7q)(2 + 7q)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + 7q)' equal to zero and attempt to solve: Simplifying 2 + 7q = 0 Solving 2 + 7q = 0 Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7q = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7q = 0 + -2 7q = 0 + -2 Combine like terms: 0 + -2 = -2 7q = -2 Divide each side by '7'. q = -0.2857142857 Simplifying q = -0.2857142857Subproblem 2
Set the factor '(2 + 7q)' equal to zero and attempt to solve: Simplifying 2 + 7q = 0 Solving 2 + 7q = 0 Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7q = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7q = 0 + -2 7q = 0 + -2 Combine like terms: 0 + -2 = -2 7q = -2 Divide each side by '7'. q = -0.2857142857 Simplifying q = -0.2857142857Solution
q = {-0.2857142857, -0.2857142857}
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