(x^2-0.4x)+(-0.3x+1)=1

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Solution for (x^2-0.4x)+(-0.3x+1)=1 equation: 


Simplifying
(x2 + -0.4x) + (-0.3x + 1) = 1

Reorder the terms:
(-0.4x + x2) + (-0.3x + 1) = 1

Remove parenthesis around (-0.4x + x2)
-0.4x + x2 + (-0.3x + 1) = 1

Reorder the terms:
-0.4x + x2 + (1 + -0.3x) = 1

Remove parenthesis around (1 + -0.3x)
-0.4x + x2 + 1 + -0.3x = 1

Reorder the terms:
1 + -0.4x + -0.3x + x2 = 1

Combine like terms: -0.4x + -0.3x = -0.7x
1 + -0.7x + x2 = 1

Add '-1' to each side of the equation.
1 + -0.7x + -1 + x2 = 1 + -1

Reorder the terms:
1 + -1 + -0.7x + x2 = 1 + -1

Combine like terms: 1 + -1 = 0
0 + -0.7x + x2 = 1 + -1
-0.7x + x2 = 1 + -1

Combine like terms: 1 + -1 = 0
-0.7x + x2 = 0

Solving
-0.7x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-0.7 + x) = 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 '(-0.7 + x)' equal to zero and attempt to solve:

Simplifying
-0.7 + x = 0

Solving
-0.7 + x = 0

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

Add '0.7' to each side of the equation.
-0.7 + 0.7 + x = 0 + 0.7

Combine like terms: -0.7 + 0.7 = 0.0
0.0 + x = 0 + 0.7
x = 0 + 0.7

Combine like terms: 0 + 0.7 = 0.7
x = 0.7

Simplifying
x = 0.7
Solution
x = {0, 0.7}

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