7q^2-47q-14=

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Solution for 7q^2-47q-14= equation:


Simplifying
7q2 + -47q + -14 = 0

Reorder the terms:
-14 + -47q + 7q2 = 0

Solving
-14 + -47q + 7q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(-2 + -7q)(7 + -1q) = 0

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 = -0.2857142857

Subproblem 2

Set the factor '(7 + -1q)' equal to zero and attempt to solve: Simplifying 7 + -1q = 0 Solving 7 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1q = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1q = 0 + -7 -1q = 0 + -7 Combine like terms: 0 + -7 = -7 -1q = -7 Divide each side by '-1'. q = 7 Simplifying q = 7

Solution

q = {-0.2857142857, 7}

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