100=x^2+2x^2-40x+100

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Solution for 100=x^2+2x^2-40x+100 equation: 


Simplifying
100 = x2 + 2x2 + -40x + 100

Reorder the terms:
100 = 100 + -40x + x2 + 2x2

Combine like terms: x2 + 2x2 = 3x2
100 = 100 + -40x + 3x2

Add '-100' to each side of the equation.
100 + -100 = 100 + -40x + -100 + 3x2

Combine like terms: 100 + -100 = 0
0 = 100 + -40x + -100 + 3x2

Reorder the terms:
0 = 100 + -100 + -40x + 3x2

Combine like terms: 100 + -100 = 0
0 = 0 + -40x + 3x2
0 = -40x + 3x2

Solving
0 = -40x + 3x2

Solving for variable 'x'.
Remove the zero:
40x + -3x2 = -40x + 3x2 + 40x + -3x2

Reorder the terms:
40x + -3x2 = -40x + 40x + 3x2 + -3x2

Combine like terms: -40x + 40x = 0
40x + -3x2 = 0 + 3x2 + -3x2
40x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
40x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(40 + -3x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(40 + -3x)' equal to zero and attempt to solve:

Simplifying
40 + -3x = 0

Solving
40 + -3x = 0

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

Add '-40' to each side of the equation.
40 + -40 + -3x = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -3x = 0 + -40
-3x = 0 + -40

Combine like terms: 0 + -40 = -40
-3x = -40

Divide each side by '-3'.
x = 13.33333333

Simplifying
x = 13.33333333
Solution
x = {0, 13.33333333}

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