=(3.33x(Tmax-10))-(0.084x(Tmax-10.0)2)

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Solution for =(3.33x(Tmax-10))-(0.084x(Tmax-10.0)2) equation: 


Simplifying
0 = (3.33x(Tmax + -10)) + -1(0.084x(Tmax + -10.0) * 2)

Reorder the terms:
0 = (3.33x(-10 + amxT)) + -1(0.084x(Tmax + -10.0) * 2)
0 = ((-10 * 3.33x + amxT * 3.33x)) + -1(0.084x(Tmax + -10.0) * 2)

Reorder the terms:
0 = ((3.33amx2T + -33.3x)) + -1(0.084x(Tmax + -10.0) * 2)
0 = ((3.33amx2T + -33.3x)) + -1(0.084x(Tmax + -10.0) * 2)
0 = (3.33amx2T + -33.3x) + -1(0.084x(Tmax + -10.0) * 2)

Remove parenthesis around (3.33amx2T + -33.3x)
0 = 3.33amx2T + -33.3x + -1(0.084x(Tmax + -10.0) * 2)

Reorder the terms:
0 = 3.33amx2T + -33.3x + -1(0.084x(-10.0 + amxT) * 2)

Reorder the terms for easier multiplication:
0 = 3.33amx2T + -33.3x + -1(0.084 * 2x(-10.0 + amxT))

Multiply 0.084 * 2
0 = 3.33amx2T + -33.3x + -1(0.168x(-10.0 + amxT))
0 = 3.33amx2T + -33.3x + -1((-10.0 * 0.168x + amxT * 0.168x))

Reorder the terms:
0 = 3.33amx2T + -33.3x + -1((0.168amx2T + -1.68x))
0 = 3.33amx2T + -33.3x + -1((0.168amx2T + -1.68x))
0 = 3.33amx2T + -33.3x + (0.168amx2T * -1 + -1.68x * -1)
0 = 3.33amx2T + -33.3x + (-0.168amx2T + 1.68x)

Reorder the terms:
0 = 3.33amx2T + -0.168amx2T + -33.3x + 1.68x

Combine like terms: 3.33amx2T + -0.168amx2T = 3.162amx2T
0 = 3.162amx2T + -33.3x + 1.68x

Combine like terms: -33.3x + 1.68x = -31.62x
0 = 3.162amx2T + -31.62x

Solving
0 = 3.162amx2T + -31.62x

Solving for variable 'a'.

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

Add '-3.162amx2T' to each side of the equation.
0 + -3.162amx2T = 3.162amx2T + -3.162amx2T + -31.62x
Remove the zero:
-3.162amx2T = 3.162amx2T + -3.162amx2T + -31.62x

Combine like terms: 3.162amx2T + -3.162amx2T = 0.000
-3.162amx2T = 0.000 + -31.62x
-3.162amx2T = -31.62x

Divide each side by '-3.162mx2T'.
a = 10m-1x-1T-1

Simplifying
a = 10m-1x-1T-1

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