3=(x+3)(x-3)-4(x-3)

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


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

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

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

Multiply (3 + x) * (-3 + x)
3 = (3(-3 + x) + x(-3 + x)) + -4(x + -3)
3 = ((-3 * 3 + x * 3) + x(-3 + x)) + -4(x + -3)
3 = ((-9 + 3x) + x(-3 + x)) + -4(x + -3)
3 = (-9 + 3x + (-3 * x + x * x)) + -4(x + -3)
3 = (-9 + 3x + (-3x + x2)) + -4(x + -3)

Combine like terms: 3x + -3x = 0
3 = (-9 + 0 + x2) + -4(x + -3)
3 = (-9 + x2) + -4(x + -3)

Reorder the terms:
3 = -9 + x2 + -4(-3 + x)
3 = -9 + x2 + (-3 * -4 + x * -4)
3 = -9 + x2 + (12 + -4x)

Reorder the terms:
3 = -9 + 12 + -4x + x2

Combine like terms: -9 + 12 = 3
3 = 3 + -4x + x2

Add '-3' to each side of the equation.
3 + -3 = 3 + -4x + -3 + x2

Combine like terms: 3 + -3 = 0
0 = 3 + -4x + -3 + x2

Reorder the terms:
0 = 3 + -3 + -4x + x2

Combine like terms: 3 + -3 = 0
0 = 0 + -4x + x2
0 = -4x + x2

Solving
0 = -4x + x2

Solving for variable 'x'.
Remove the zero:
4x + -1x2 = -4x + x2 + 4x + -1x2

Reorder the terms:
4x + -1x2 = -4x + 4x + x2 + -1x2

Combine like terms: -4x + 4x = 0
4x + -1x2 = 0 + x2 + -1x2
4x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(4 + -1x) = 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 '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {0, 4}

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