4m+(m-2)(m-7)-3=m^2+5

Solution for 4m+(m-2)(m-7)-3=m^2+5 equation:

Simplifying
4m + (m + -2)(m + -7) + -3 = m2 + 5

Reorder the terms:
4m + (-2 + m)(m + -7) + -3 = m2 + 5

Reorder the terms:
4m + (-2 + m)(-7 + m) + -3 = m2 + 5

Multiply (-2 + m) * (-7 + m)
4m + (-2(-7 + m) + m(-7 + m)) + -3 = m2 + 5
4m + ((-7 * -2 + m * -2) + m(-7 + m)) + -3 = m2 + 5
4m + ((14 + -2m) + m(-7 + m)) + -3 = m2 + 5
4m + (14 + -2m + (-7 * m + m * m)) + -3 = m2 + 5
4m + (14 + -2m + (-7m + m2)) + -3 = m2 + 5

Combine like terms: -2m + -7m = -9m
4m + (14 + -9m + m2) + -3 = m2 + 5

Reorder the terms:
14 + -3 + 4m + -9m + m2 = m2 + 5

Combine like terms: 14 + -3 = 11
11 + 4m + -9m + m2 = m2 + 5

Combine like terms: 4m + -9m = -5m
11 + -5m + m2 = m2 + 5

Reorder the terms:
11 + -5m + m2 = 5 + m2

Add '-1m2' to each side of the equation.
11 + -5m + m2 + -1m2 = 5 + m2 + -1m2

Combine like terms: m2 + -1m2 = 0
11 + -5m + 0 = 5 + m2 + -1m2
11 + -5m = 5 + m2 + -1m2

Combine like terms: m2 + -1m2 = 0
11 + -5m = 5 + 0
11 + -5m = 5

Solving
11 + -5m = 5

Solving for variable 'm'.

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

Add '-11' to each side of the equation.
11 + -11 + -5m = 5 + -11

Combine like terms: 11 + -11 = 0
0 + -5m = 5 + -11
-5m = 5 + -11

Combine like terms: 5 + -11 = -6
-5m = -6

Divide each side by '-5'.
m = 1.2

Simplifying
m = 1.2