m(5m-3)-8=m(m+4m)-0.2

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Solution for m(5m-3)-8=m(m+4m)-0.2 equation:


Simplifying
m(5m + -3) + -8 = m(m + 4m) + -0.2

Reorder the terms:
m(-3 + 5m) + -8 = m(m + 4m) + -0.2
(-3 * m + 5m * m) + -8 = m(m + 4m) + -0.2
(-3m + 5m2) + -8 = m(m + 4m) + -0.2

Reorder the terms:
-8 + -3m + 5m2 = m(m + 4m) + -0.2

Combine like terms: m + 4m = 5m
-8 + -3m + 5m2 = m(5m) + -0.2

Remove parenthesis around (5m)
-8 + -3m + 5m2 = m * 5m + -0.2

Reorder the terms for easier multiplication:
-8 + -3m + 5m2 = 5m * m + -0.2

Multiply m * m
-8 + -3m + 5m2 = 5m2 + -0.2

Reorder the terms:
-8 + -3m + 5m2 = -0.2 + 5m2

Add '-5m2' to each side of the equation.
-8 + -3m + 5m2 + -5m2 = -0.2 + 5m2 + -5m2

Combine like terms: 5m2 + -5m2 = 0
-8 + -3m + 0 = -0.2 + 5m2 + -5m2
-8 + -3m = -0.2 + 5m2 + -5m2

Combine like terms: 5m2 + -5m2 = 0
-8 + -3m = -0.2 + 0
-8 + -3m = -0.2

Solving
-8 + -3m = -0.2

Solving for variable 'm'.

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

Add '8' to each side of the equation.
-8 + 8 + -3m = -0.2 + 8

Combine like terms: -8 + 8 = 0
0 + -3m = -0.2 + 8
-3m = -0.2 + 8

Combine like terms: -0.2 + 8 = 7.8
-3m = 7.8

Divide each side by '-3'.
m = -2.6

Simplifying
m = -2.6

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