3x-x(x-4)=-3x*x

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Solution for 3x-x(x-4)=-3x*x equation: 


Simplifying
3x + -1x(x + -4) = -3x * x

Reorder the terms:
3x + -1x(-4 + x) = -3x * x
3x + (-4 * -1x + x * -1x) = -3x * x
3x + (4x + -1x2) = -3x * x

Combine like terms: 3x + 4x = 7x
7x + -1x2 = -3x * x

Multiply x * x
7x + -1x2 = -3x2

Solving
7x + -1x2 = -3x2

Solving for variable 'x'.

Combine like terms: -1x2 + 3x2 = 2x2
7x + 2x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
7x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(7 + 2x) = 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 '(7 + 2x)' equal to zero and attempt to solve:

Simplifying
7 + 2x = 0

Solving
7 + 2x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 0 + -7
2x = 0 + -7

Combine like terms: 0 + -7 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5
Solution
x = {0, -3.5}

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