7m^4-28m^3-315m^2=

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Solution for 7m^4-28m^3-315m^2= equation:


Simplifying
7m4 + -28m3 + -315m2 = 0

Reorder the terms:
-315m2 + -28m3 + 7m4 = 0

Solving
-315m2 + -28m3 + 7m4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '7m2'.
7m2(-45 + -4m + m2) = 0

Factor a trinomial.
7m2((-5 + -1m)(9 + -1m)) = 0

Ignore the factor 7.

Subproblem 1

Set the factor 'm2' equal to zero and attempt to solve: Simplifying m2 = 0 Solving m2 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m2 = 0 Take the square root of each side: m = {0}

Subproblem 2

Set the factor '(-5 + -1m)' equal to zero and attempt to solve: Simplifying -5 + -1m = 0 Solving -5 + -1m = 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 + -1m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1m = 0 + 5 -1m = 0 + 5 Combine like terms: 0 + 5 = 5 -1m = 5 Divide each side by '-1'. m = -5 Simplifying m = -5

Subproblem 3

Set the factor '(9 + -1m)' equal to zero and attempt to solve: Simplifying 9 + -1m = 0 Solving 9 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1m = 0 + -9 -1m = 0 + -9 Combine like terms: 0 + -9 = -9 -1m = -9 Divide each side by '-1'. m = 9 Simplifying m = 9

Solution

m = {0, -5, 9}

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