5(4m-7)(m-4)=0

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Solution for 5(4m-7)(m-4)=0 equation: 


Simplifying
5(4m + -7)(m + -4) = 0

Reorder the terms:
5(-7 + 4m)(m + -4) = 0

Reorder the terms:
5(-7 + 4m)(-4 + m) = 0

Multiply (-7 + 4m) * (-4 + m)
5(-7(-4 + m) + 4m * (-4 + m)) = 0
5((-4 * -7 + m * -7) + 4m * (-4 + m)) = 0
5((28 + -7m) + 4m * (-4 + m)) = 0
5(28 + -7m + (-4 * 4m + m * 4m)) = 0
5(28 + -7m + (-16m + 4m2)) = 0

Combine like terms: -7m + -16m = -23m
5(28 + -23m + 4m2) = 0
(28 * 5 + -23m * 5 + 4m2 * 5) = 0
(140 + -115m + 20m2) = 0

Solving
140 + -115m + 20m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '5'.
5(28 + -23m + 4m2) = 0

Factor a trinomial.
5((7 + -4m)(4 + -1m)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(7 + -4m)' equal to zero and attempt to solve:

Simplifying
7 + -4m = 0

Solving
7 + -4m = 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 + -4m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4m = 0 + -7
-4m = 0 + -7

Combine like terms: 0 + -7 = -7
-4m = -7

Divide each side by '-4'.
m = 1.75

Simplifying
m = 1.75

Subproblem 2
Set the factor '(4 + -1m)' equal to zero and attempt to solve:

Simplifying
4 + -1m = 0

Solving
4 + -1m = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1m = 0 + -4
-1m = 0 + -4

Combine like terms: 0 + -4 = -4
-1m = -4

Divide each side by '-1'.
m = 4

Simplifying
m = 4
Solution
m = {1.75, 4}

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