12xq^2+34xq-28x=

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Solution for 12xq^2+34xq-28x= equation:


Simplifying
12xq2 + 34xq + -28x = 0

Reorder the terms:
34qx + 12q2x + -28x = 0

Solving
34qx + 12q2x + -28x = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(17q + 6q2 + -14) = 0

Factor a trinomial.
2x((3q + -2)(2q + 7)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing q to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(3q + -2)' equal to zero and attempt to solve: Simplifying 3q + -2 = 0 Reorder the terms: -2 + 3q = 0 Solving -2 + 3q = 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 + 3q = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3q = 0 + 2 3q = 0 + 2 Combine like terms: 0 + 2 = 2 3q = 2 Divide each side by '3'. q = 0.6666666667 Simplifying q = 0.6666666667

Subproblem 3

Set the factor '(2q + 7)' equal to zero and attempt to solve: Simplifying 2q + 7 = 0 Reorder the terms: 7 + 2q = 0 Solving 7 + 2q = 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 + 2q = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2q = 0 + -7 2q = 0 + -7 Combine like terms: 0 + -7 = -7 2q = -7 Divide each side by '2'. q = -3.5 Simplifying q = -3.5

Solution

q = {0.6666666667, -3.5}

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