70m^2-51m-70=0

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Solution for 70m^2-51m-70=0 equation: 


Simplifying
70m2 + -51m + -70 = 0

Reorder the terms:
-70 + -51m + 70m2 = 0

Solving
-70 + -51m + 70m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-7 + -10m)(10 + -7m) = 0


Subproblem 1
Set the factor '(-7 + -10m)' equal to zero and attempt to solve:

Simplifying
-7 + -10m = 0

Solving
-7 + -10m = 0

Move all terms containing m to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + -10m = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -10m = 0 + 7
-10m = 0 + 7

Combine like terms: 0 + 7 = 7
-10m = 7

Divide each side by '-10'.
m = -0.7

Simplifying
m = -0.7

Subproblem 2
Set the factor '(10 + -7m)' equal to zero and attempt to solve:

Simplifying
10 + -7m = 0

Solving
10 + -7m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + -7m = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -7m = 0 + -10
-7m = 0 + -10

Combine like terms: 0 + -10 = -10
-7m = -10

Divide each side by '-7'.
m = 1.428571429

Simplifying
m = 1.428571429
Solution
m = {-0.7, 1.428571429}

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