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Simplifying 14q2 + -4q + -10 = 0 Reorder the terms: -10 + -4q + 14q2 = 0 Solving -10 + -4q + 14q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + -2q + 7q2) = 0 Factor a trinomial. 2((-5 + -7q)(1 + -1q)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -7q)' equal to zero and attempt to solve: Simplifying -5 + -7q = 0 Solving -5 + -7q = 0 Move all terms containing q to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -7q = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7q = 0 + 5 -7q = 0 + 5 Combine like terms: 0 + 5 = 5 -7q = 5 Divide each side by '-7'. q = -0.7142857143 Simplifying q = -0.7142857143Subproblem 2
Set the factor '(1 + -1q)' equal to zero and attempt to solve: Simplifying 1 + -1q = 0 Solving 1 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1q = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1q = 0 + -1 -1q = 0 + -1 Combine like terms: 0 + -1 = -1 -1q = -1 Divide each side by '-1'. q = 1 Simplifying q = 1Solution
q = {-0.7142857143, 1}
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