-35m^2q-4mq+15q=0

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Solution for -35m^2q-4mq+15q=0 equation:


Simplifying
-35m2q + -4mq + 15q = 0

Reorder the terms:
-4mq + -35m2q + 15q = 0

Solving
-4mq + -35m2q + 15q = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'q'.
q(-4m + -35m2 + 15) = 0

Factor a trinomial.
q((-7m + -5)(5m + -3)) = 0

Subproblem 1

Set the factor 'q' equal to zero and attempt to solve: Simplifying q = 0 Solving q = 0 Move all terms containing m to the left, all other terms to the right. Add '-1q' to each side of the equation. q + -1q = 0 + -1q Remove the zero: 0 = -1q Simplifying 0 = -1q 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 '(-7m + -5)' equal to zero and attempt to solve: Simplifying -7m + -5 = 0 Reorder the terms: -5 + -7m = 0 Solving -5 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -7m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7m = 0 + 5 -7m = 0 + 5 Combine like terms: 0 + 5 = 5 -7m = 5 Divide each side by '-7'. m = -0.7142857143 Simplifying m = -0.7142857143

Subproblem 3

Set the factor '(5m + -3)' equal to zero and attempt to solve: Simplifying 5m + -3 = 0 Reorder the terms: -3 + 5m = 0 Solving -3 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 5m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5m = 0 + 3 5m = 0 + 3 Combine like terms: 0 + 3 = 3 5m = 3 Divide each side by '5'. m = 0.6 Simplifying m = 0.6

Solution

m = {-0.7142857143, 0.6}

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